(c) Softease Limited 1995 - !TextEase - version 4.00, saved on 5.95 Windows 13 0 -6000 628 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et yyyn 45 0 1 0 0 1 0 0 n 0 0 F0F0F000 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 0 0 0 0 -1 0 0 65536  0 0 0 0 0 0 0 0 0 0 0 1 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 C0C0C000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 40408000 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 4D4D9900 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 C0C0C000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 80808000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 C0C0C000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 FFFF0000 DDDDDD00 nyn 00 5 nn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 3 nnn 80 0 -1172 499 -662 952 0 0 0 0 nynynnnnn 2400 1920 0 0 0 0 0 79 0 2057 10 12038 12028 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 1 0 0 -1 -1 -1 0 65536  0 0 0 0 13 0 1550 0 0 0 2318 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 MyEasiteach Copperplate_Gothic_Bold 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 20 Voting Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCell Comic_Sans_MS 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCross Wingdings 100 14 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 VotingInner 0 2 FFE0D200 FFE0D200 nyn 00 5 nn 21 VotingOuter 0 5 FFE0D200 FFE0D200 nyn 00 5 nn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 35 288 8 -74 0 yyyyyg 41 -54 Easiteach 10 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Core 1(c) 16 0 94000 10 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000057A 22 1023 1248 -121 -329 0 yyyyyg Outline 2 n 0 n 0 0 0 0 0 n 43 5 0000000a 43 2 00000079 43 1 0000ff00 22 951 1098 -146 -280 0 yyyyyg Outline 5 n 0 n 0 0 0 0 0 n 43 5 0000000a 43 2 00000079 43 1 ff702800 15 224 1119 -211 -713 0 yyyayg 230 -273 Easiteach 116 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 - terminology - the equation of a circle - finding the centre and radius - equation of a circle in another form 16 0 131200 14 56 -14 0 1 0 16 15 0 0 56 -14 0 1 0 16 16 234400 26 56 -14 0 1 0 16 43 0 0 56 -14 0 1 0 16 44 290000 31 56 -14 0 1 0 16 76 0 0 56 -14 0 1 0 16 77 350800 38 56 -14 0 1 0 16 116 0 0 56 -14 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000425 23 35 115 UK_English 15 205 1160 -550 -872 0 yyyayg 211 -612 Easiteach 43 7 n 0 nny 0 16777248 0 0 0 0 0 0 0 - the equations of tangents and normals 16 0 0 0 56 -14 0 1 0 16 1 0 0 56 -14 0 1 0 16 2 374800 39 56 -14 0 1 0 16 42 0 0 56 -14 0 1 0 16 43 0 0 56 -14 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000425 23 35 4 UK_English 23 35 16 US_English 15 208 1018 -649 -1091 0 yyyayg 214 -711 Easiteach 62 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 - Intersects and the discriminant - Chords and mid-points 16 0 0 0 56 -14 0 1 0 16 1 0 0 56 -14 0 1 0 16 2 316800 33 56 -14 0 1 0 16 36 0 0 56 -14 0 1 0 16 37 224400 23 56 -14 0 1 0 16 61 0 0 56 -14 0 1 0 16 62 0 0 56 -14 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000425 23 35 4 UK_English 15 278 931 -55 -193 0 yyyayf 284 -161 Easiteach 16 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Circles - revise 16 0 254000 16 100 -26 0 1 0 23 8 0 00000024 23 4 0 01A80000 23 35 0 US_English 23 5 0 00000399 23 35 7 UK_English 59 5 None nnnny None 0 None None -1 0 n 2 5 8886784 34125056 0 0 0 0 0 0 0 None 0 3 nnn 155 0 41 82 2359 1871 0 0 0 0 nnnnnnnnn 2400 1920 0 0 0 0 1 98 00000000 FF28B800 2 1 0 C:\Program Files\Research Machines\Easiteach\Skins\graphic.xml1280,1024011897199121071100164185312516718531013113311508418531021103110519999991109111111057545372121106657595308126111085851712211231124112613000266525300113002130031300413005130061300713008130091301213014131002666253102131031310413105131061310713108131091111132002664253201132051320613207132081320913210133002668253302133031330413305133071330813309133101340066112534021340915000660181510069018110131133135002166288500733625850319300733525 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 2 0 0 -1 -1 -1 0 65536  0 0 0 0 12 0 1550 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 MyEasiteach Copperplate_Gothic_Bold 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 20 Voting Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCell Comic_Sans_MS 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCross Wingdings 100 14 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 VotingInner 0 2 FFE0D200 FFE0D200 nyn 00 5 nn 21 VotingOuter 0 5 FFE0D200 FFE0D200 nyn 00 5 nn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 49 404 -19 -101 0 yyyyyg 55 -81 Easiteach 13 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Name the bits 16 0 134800 13 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 0000056C 18 432 1100 -159 -400 0 yyyyyg Outline 437 -164 1095 -395 2 n 0 n 0 24 5 0000000a 24 2 00000079 24 0 ff702800 22 299 976 -253 -918 0 yyyyyg Outline 3 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 18 294 981 -565 -589 0 yyyyyg Outline 976 -584 299 -570 4 n 0 n 0 24 5 0000000a 24 2 00000079 24 0 3800a800 18 301 648 -248 -515 0 yyyyyf Outline 643 -253 306 -510 5 n 0 n 0 24 5 0000000a 24 2 00000079 24 0 0000ff00 22 631 639 -574 -582 0 yyyyyf Outline 6 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 18 634 868 -12 -579 0 yyyyye Outline 639 -574 863 -17 7 n 0 n 0 24 5 0000000a 24 2 00000079 24 0 00588800 15 1011 1220 -290 -372 0 yyyaye 1017 -352 Easiteach 7 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000018C 18 626 844 -570 -854 0 yyyyye Outline 631 -575 839 -849 9 n 0 n 0 24 5 0000000a 24 2 00000079 24 0 01a80000 15 853 1042 -51 -133 0 yyyyyd 859 -113 Easiteach 6 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000248 19 859 1047 -68 -125 0 yyyyyd Outline 11 n 0 n 0 0 0 0 24 5 0000000a 24 2 00000079 24 1 00588800 24 0 00588800 19 1016 1210 -304 -364 0 yyyyyd Outline 12 n 0 n 0 0 0 0 24 5 0000000a 24 2 00000079 24 1 ff702800 24 0 00588800 15 597 768 -737 -819 0 yyyayd 603 -799 Easiteach 6 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius 16 0 61200 6 56 -14 0 1 0 23 4 0 01A80000 23 35 0 US_English 23 5 0 0000034A 15 321 513 -563 -631 0 yyyayc 327 -614 Easiteach 8 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 Diameter 16 0 69600 8 45 -11 0 1 0 23 8 0 00000010 23 35 0 US_English 23 5 0 00000548 15 453 612 -376 -458 0 yyyyyb 459 -438 Easiteach 5 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 Chord 16 0 56400 5 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000003D8 19 596 756 -749 -810 0 yyyyyb Outline 16 n 0 n 0 0 0 0 24 5 0000000a 24 2 00000079 24 1 01a80000 19 326 617 -582 -631 0 yyyyya Outline 17 n 0 n 0 0 0 0 24 5 0000000a 24 2 00000079 24 1 3800a800 19 459 615 -397 -451 0 yyyyy` Outline 18 n 0 n 0 0 0 0 24 5 0000000a 24 2 00000079 24 1 0000ff00 59 11 None nnnnn None 0 None None -1 0 n 0 0 0 0 11 0 0 0 0 0 0 None 0 59 12 None nnnnn None 0 None None -1 0 n 0 0 0 0 12 0 0 0 0 0 0 None 0 59 16 None nnnnn None 0 None None -1 0 n 0 0 0 0 16 0 0 0 0 0 0 None 0 59 17 None nnnnn None 0 None None -1 0 n 0 0 0 0 17 0 0 0 0 0 0 None 0 59 18 None nnnnn None 0 None None -1 0 n 0 0 0 0 18 0 0 0 0 0 0 None 0 13 0 -1060 1488 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 4 0 0 -1 -1 -1 0 65536  0 0 0 0 11 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 MyEasiteach Copperplate_Gothic_Bold 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 20 Voting Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCell Comic_Sans_MS 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCross Wingdings 100 14 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 VotingInner 0 2 FFE0D200 FFE0D200 nyn 00 5 nn 21 VotingOuter 0 5 FFE0D200 FFE0D200 nyn 00 5 nn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 102 1170 -52 -448 0 yyyayg 108 -136 Easiteach 101 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 The equation of a circle with centre (a, b) and with radius r is given by:: (x-a) + (y-b) = r 16 0 420000 44 78 -20 0 1 0 16 45 6000 1 56 -14 0 1 0 16 47 276000 31 56 -14 0 1 0 16 79 0 0 56 -14 0 1 0 16 80 365838 21 100 -26 0 1 0 23 35 0 US_English 23 5 0 00000508 23 8 38 0000001C 23 4 39 00008000 23 4 40 FFFFFFFF 23 4 42 00800000 23 4 43 FFFFFFFF 23 8 44 FFFFFFFF 23 4 82 FF702800 23 8 82 00000024 23 4 85 00008000 23 4 86 FF702800 23 4 94 00800000 23 4 95 FF702800 15 509 558 -289 -371 0 yyyayg 515 -351 Easiteach 1 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000292 15 847 896 -294 -376 0 yyyayg 853 -356 Easiteach 1 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001A7 15 1027 1076 -300 -382 0 yyyayg 1033 -362 Easiteach 1 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000027B 15 299 1068 -558 -700 0 yyyayg 305 -620 Easiteach 59 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the equation of a circle radius 6 and centre (3,4)? 16 0 300400 32 56 -14 0 1 0 16 33 246400 26 56 -14 0 0 0 23 5 0 000002F5 23 35 0 US_English 15 294 1431 -741 -943 0 yyyyyg 300 -803 Easiteach 96 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the radius and centre of a circle given by the equation:- (x - 5) + (y - 11) = 7 16 0 441600 47 56 -14 0 1 0 16 48 160000 17 56 -14 0 0 0 16 66 381276 30 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000047D 15 868 908 -843 -904 0 yyyayg 874 -888 Easiteach 1 7 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 5 0 000000C3 23 35 0 US_English 15 1132 1172 -842 -903 0 yyyayf 1138 -887 Easiteach 1 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 5 0 000000C3 23 35 0 US_English 15 1251 1291 -850 -911 0 yyyayf 1257 -895 Easiteach 1 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 35 0 US_English 23 5 0 000000C3 19 239 1376 -548 -721 0 yyyyye Outline 10 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ff0000 19 236 1454 -735 -993 0 yyyyye Outline 11 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 ffff2800 59 10 None nnnnn None 0 None None -1 0 n 0 0 0 0 10 0 0 0 0 0 0 None 0 59 11 None nnnnn None 0 None None -1 0 n 0 0 0 0 11 0 0 0 0 0 0 None 0 13 0 -1060 1488 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 3 0 0 -1 -1 -1 0 65536  0 0 0 0 10 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 MyEasiteach Copperplate_Gothic_Bold 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 20 Voting Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCell Comic_Sans_MS 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCross Wingdings 100 14 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 VotingInner 0 2 FFE0D200 FFE0D200 nyn 00 5 nn 21 VotingOuter 0 5 FFE0D200 FFE0D200 nyn 00 5 nn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 649 972 -3 -85 0 yyyayg 655 -65 Easiteach 12 1 n 0 nny 0 32 0 0 0 0 0 0 0 General Case 16 0 122000 12 56 -14 0 1 0 23 5 0 0000030F 22 875 1461 -315 -663 0 yyyyyg Outline 2 n 0 o 0 0 0 0 0 n 43 5 0000000a 43 2 00000079 43 1 00ffff00 15 972 1415 -361 -563 0 yyyayg 978 -423 Easiteach 37 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 By Pythagoras' (x-a) + (y-b) = r 16 0 141600 14 56 -14 0 1 0 16 15 0 0 56 -14 0 1 0 16 16 170000 21 56 -14 0 1 0 23 5 0 00000237 23 35 0 US_English 15 1089 1132 -458 -526 0 yyyayg 1095 -509 Easiteach 1 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 10000 1 45 -11 0 1 0 23 35 0 US_English 23 5 0 000001AB 23 8 0 00000010 15 1282 1325 -453 -521 0 yyyayf 1288 -504 Easiteach 1 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 10000 1 45 -11 0 1 0 23 5 0 000001AB 23 35 0 US_English 23 8 0 00000010 15 1401 1444 -466 -534 0 yyyayf 1407 -517 Easiteach 1 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 10000 1 45 -11 0 1 0 23 35 0 US_English 23 5 0 000001AB 23 8 0 00000010 51 29 829 -118 -918 0 nyynye 7 n 30 8 12 13 1 1 25 25 -10 -10 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 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4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 22 327 777 -184 -634 0 yyyyye Outline 8 n 0 n 0 0 0 0 0 n 43 5 0000000a 33 532 564 -402 -433 0 nyyaye Outline 32 10 9 n 0 n 0 0 0 7$%Oþÿé'iZþÿÿ3iZþÿœ**aþÿr.ÝlþÿV$ÚeþÿpÝlþÿøFaþÿ$!Zþÿ© !Zþÿ 43 2 00000079 43 1 3800a800 43 5 00000005 15 484 786 -676 -758 0 yyyaye 490 -738 Easiteach 12 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 Centre (a,b) 16 0 113600 12 56 -14 0 1 0 23 5 0 000004E9 23 35 0 US_English 23 4 0 00588800 15 453 579 -420 -502 0 yyyayd 459 -482 Easiteach 5 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 (a,b) 16 0 43200 5 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000200 33 664 696 -234 -265 0 nyyayc Outline 32 10 12 n 0 n 0 0 0 7¨$÷þÿé«hÿÿÿ·hÿÿœ®* ÿÿr²ÜÿÿV¨Ù ÿÿpžÜÿÿø¡E ÿÿ$™ ÿÿ©¤ ÿÿ 43 2 00000079 43 1 3800a800 43 5 00000005 15 699 825 -182 -264 0 yyyayb 705 -244 Easiteach 5 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x,y) 16 0 43200 5 56 -14 0 1 0 23 4 0 01A80000 23 35 0 US_English 23 5 0 000002C9 18 553 683 -390 -424 0 yyyyyb Outline 678 -407 558 -407 14 n 0 n 0 24 5 0000000a 24 2 00000079 24 0 ff702800 18 661 695 -252 -412 0 yyyyya Outline 678 -257 678 -407 15 n 0 n 0 24 5 0000000a 24 2 00000079 24 0 0000ff00 18 553 683 -252 -412 0 yyyyy` Outline 558 -407 678 -257 16 n 0 n 0 24 5 0000000a 24 2 00000079 19 689 803 -324 -384 0 yyyyy` Outline 17 n 0 n 0 0 0 0 24 2 00000079 24 5 00000001 19 574 690 -414 -471 0 yyyyy` Outline 18 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 15 587 682 -401 -483 0 yyyay_ 593 -463 Easiteach 3 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 x-a 16 0 30800 3 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001D6 15 111 363 -173 -255 0 yyyay^ 117 -235 Easiteach 10 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = r 16 0 93600 10 56 -14 0 1 0 23 5 0 00000436 23 35 0 US_English 23 4 0 01A80000 15 706 801 -320 -402 0 yyyay^ 712 -382 Easiteach 3 21 n 0 nhy 0 16777248 0 0 0 0 0 0 0 y-b 16 0 30800 3 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 00000191 15 695 790 -304 -386 0 yyyay] 701 -366 Easiteach 3 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 y-b 16 0 30800 3 56 -14 0 1 0 23 4 0 0000FF00 23 5 0 000001A8 59 2 None nnnnn None 0 None None -1 0 n 0 0 0 0 2 0 0 0 0 0 0 None 0 59 19 None nnnnn None 0 None None -1 0 n 0 0 0 0 19 0 0 0 0 0 0 None 0 60 3 0 0 61 17 61 21 60 4 0 0 61 6 61 5 61 4 61 3 61 2 60 5 0 0 61 18 61 19 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 5 0 0 -1 -1 -1 0 65536  0 0 0 0 9 0 1550 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 MyEasiteach Copperplate_Gothic_Bold 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 20 Voting Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCell Comic_Sans_MS 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 20 VotingCross Wingdings 100 14 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 VotingInner 0 2 FFE0D200 FFE0D200 nyn 00 5 nn 21 VotingOuter 0 5 FFE0D200 FFE0D200 nyn 00 5 nn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 205 1267 -35 -117 0 yyyayg 211 -97 Easiteach 43 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Working with Circle Equations in other form 16 0 417600 43 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000445 15 124 965 -169 -251 0 yyyyyg 130 -231 Easiteach 35 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 Consider :- x - 2x + y + 4y + 1 = 0 16 0 329557 35 56 -14 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000527 15 -84 1113 -194 -396 0 yyyayg -78 -256 Easiteach 49 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 Can it be written as:- (x-a) + (y-b) = r ? 16 0 0 0 56 -14 0 1 0 16 1 0 0 56 -14 0 1 0 16 2 471838 47 56 -14 0 1 0 23 5 0 00000508 23 35 0 US_English 23 8 4 FFFFFFFF 23 4 26 FF702800 23 4 30 00008000 23 4 31 FF702800 23 4 39 00800000 23 4 40 FF702800 23 4 48 FFFFFFFF 15 761 801 -299 -360 0 yyyayg 767 -344 Easiteach 1 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 FF702800 23 5 0 00000221 23 35 0 US_English 15 942 982 -302 -363 0 yyyayg 948 -347 Easiteach 1 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000221 15 1043 1083 -302 -363 0 yyyayg 1049 -347 Easiteach 1 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 FF702800 23 5 0 00000221 23 35 0 US_English 15 660 700 -158 -219 0 yyyayf 666 -203 Easiteach 1 7 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 3800A800 23 8 0 0000000E 23 5 0 00000221 23 35 0 US_English 15 477 517 -155 -216 0 yyyaye 483 -200 Easiteach 1 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 3800A800 23 8 0 0000000E 23 5 0 00000221 23 35 0 US_English 15 147 725 -442 -524 0 yyyaye 153 -504 Easiteach 23 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Complete the squares:- 16 0 224000 23 56 -14 0 1 0 23 4 0 FF28B800 23 35 0 US_English 23 5 0 0000050D 15 316 476 -513 -595 0 yyyaye 322 -575 Easiteach 6 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 x - 2x 16 0 56800 6 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000341 15 838 993 -537 -619 0 yyyaye 844 -599 Easiteach 6 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 y + 4y 16 0 54800 6 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000001F4 15 346 386 -504 -565 0 yyyayd 352 -549 Easiteach 1 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 35 0 US_English 23 5 0 00000193 15 866 906 -521 -582 0 yyyayd 872 -566 Easiteach 1 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000016F 15 302 537 -603 -685 0 yyyayd 308 -665 Easiteach 10 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x-1) - 1 16 0 86800 10 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000460 15 825 1074 -609 -691 0 yyyayd 831 -671 Easiteach 11 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 (y + 2) - 4 16 0 92400 11 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000025E 15 420 460 -586 -647 0 yyyayc 426 -631 Easiteach 1 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 974 1014 -595 -656 0 yyyayc 980 -640 Easiteach 1 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 5 0 0000016F 23 35 0 US_English 15 154 464 -677 -759 0 yyyyyc 160 -739 Easiteach 12 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 Substitute:- 16 0 116800 12 56 -14 0 1 0 23 4 0 FF28B800 23 35 0 US_English 23 5 0 00000509 15 300 992 -752 -834 0 yyyayc 306 -814 Easiteach 32 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x-1) - 1 + (y + 2) - 4 + 1 = 0 16 0 269600 32 56 -14 0 1 0 23 4 0 00588800 23 5 0 00000460 23 35 0 US_English 23 4 13 0000FF00 23 4 24 00588800 23 4 25 3800A800 15 421 461 -738 -799 0 yyyayb 427 -783 Easiteach 1 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 722 762 -732 -793 0 yyyaya 728 -777 Easiteach 1 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 5 0 0000016F 23 35 0 US_English 15 295 835 -837 -919 0 yyyaya 301 -899 Easiteach 25 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x-1) + (y + 2) - 4 = 0 16 0 208800 25 56 -14 0 1 0 23 4 0 00588800 23 5 0 00000460 23 35 0 US_English 23 4 9 0000FF00 23 4 17 3800A800 15 294 737 -928 -1010 0 yyyaya 300 -990 Easiteach 20 23 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x-1) + (y + 2) = 2 16 0 170000 20 56 -14 0 1 0 23 4 0 00588800 23 5 0 00000460 23 35 0 US_English 23 4 9 0000FF00 23 4 17 3800A800 15 413 453 -822 -883 0 yyyay` 419 -867 Easiteach 1 24 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 411 451 -911 -972 0 yyyay` 417 -956 Easiteach 1 25 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 724 764 -913 -974 0 yyyay` 730 -958 Easiteach 1 26 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 631 671 -818 -879 0 yyyay_ 637 -863 Easiteach 1 27 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 5 0 0000016F 23 35 0 US_English 15 634 674 -910 -971 0 yyyay_ 640 -955 Easiteach 1 28 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 5 0 0000016F 23 35 0 US_English 15 1107 1431 -756 -838 0 yyyyy^ 1113 -817 Easiteach 13 29 n 0 nny 0 16777248 0 0 0 0 0 0 0 Centre (1,-2) 16 0 124400 13 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000150 23 35 10 English 15 1124 1382 -846 -928 0 yyyyy^ 1130 -908 Easiteach 10 30 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = 2 16 0 96000 10 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000013F 19 93 1052 -695 -1033 0 yyyyy] Outline 31 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 19 247 1058 -613 -687 0 yyyyy\ Outline 32 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 18 203 1271 -101 -135 0 yyyyy[ Outline 203 -123 1271 -113 33 n 0 n 0 24 5 00000001 24 2 00000079 18 -12 12 12 -12 0 yyyyyZ Outline 0 0 0 0 34 n 0 n 0 24 5 00000001 24 2 00000079 19 99 1071 -435 -695 0 yyyyyZ Outline 35 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 19 1097 1463 -763 -949 0 yyyyyZ Outline 36 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 48c8ff00 59 31 None nnnnn None 0 None None -1 0 n 0 0 0 0 31 0 0 0 0 0 0 None 0 59 36 None nnnnn None 0 None None -1 0 n 0 0 0 0 36 0 0 0 2234 0 0 None 0 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 9 0 0 -1 -1 -1 0 0  0 0 0 0 8 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 0 4888ff00 24 2 00000079 24 5 00000005 15 965 1154 -153 -235 0 yyyaye 971 -215 Easiteach 6 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 5 0 0000021D 23 4 0 4888FF00 15 337 546 -153 -235 0 yyyayd 343 -215 Easiteach 7 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 5 0 000003FD 23 4 0 FF702800 15 250 1157 -3 -85 0 yyyayc 256 -65 Easiteach 35 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal - sample problem 16 0 355600 35 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 23 35 18 US_English 23 4 21 FFFFFFFF 22 509 524 -444 -461 0 yyyyyc Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 22 663 678 -345 -357 0 yyyyyb Outline 8 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 650 712 -258 -340 0 yyyaya 656 -320 Easiteach 1 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q 16 0 17600 1 56 -14 0 1 0 23 5 0 000000FE 23 35 0 US_English 15 456 504 -419 -501 0 yyyaya 462 -481 Easiteach 1 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 C 16 0 12000 1 56 -14 0 1 0 23 5 0 0000023E 23 35 0 US_English 15 900 1431 -288 -430 0 yyyay` 906 -350 Easiteach 35 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the length of the line PQ ? 16 0 205200 21 56 -14 0 1 0 16 22 121600 13 56 -14 0 0 0 23 5 0 00000203 23 35 0 US_English 18 520 831 -453 -577 0 yyyyy` Outline 829 -575 522 -455 12 n 0 n 0 24 5 00000005 24 2 00000079 15 77 335 -305 -387 0 yyyyy_ 83 -367 Easiteach 10 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = 2 16 0 96000 10 56 -14 0 1 0 23 5 0 00000556 23 35 0 US_English 15 844 888 -520 -602 0 yyyay_ 850 -582 Easiteach 1 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 P 16 0 10400 1 56 -14 0 1 0 23 5 0 0000013E 23 35 0 US_English 22 823 830 -569 -578 0 yyyyy_ Outline 15 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 879 1063 -518 -600 0 yyyay^ 885 -580 Easiteach 7 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 (10,-3) 16 0 66400 7 56 -14 0 1 0 23 5 0 0000016E 23 35 0 US_English 15 330 462 -417 -499 0 yyyay] 336 -479 Easiteach 5 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 (3,3) 16 0 45600 5 56 -14 0 1 0 23 5 0 000001EA 23 35 0 US_English 18 642 670 -367 -401 0 yyyyy\ Outline 644 -369 668 -399 18 n 0 n 0 24 5 00000005 24 2 00000079 18 666 693 -377 -401 0 yyyyy\ Outline 691 -379 668 -399 19 n 0 n 0 24 5 00000005 24 2 00000079 18 654 682 -380 -413 0 yyyyy\ Outline 668 -399 668 -394 20 n 0 n 0 24 5 00000005 24 2 00000079 15 570 678 -494 -576 0 yyyay\ 576 -556 Easiteach 3 21 n 0 nny 0 32 0 0 0 0 0 0 0 Ö85 16 0 36000 3 56 -14 0 1 0 23 7 0 Symbol 23 4 0 3800A800 23 5 0 000001B0 23 35 0 US_English 23 7 1 FFFFFFFF 15 551 600 -329 -411 0 yyyay[ 557 -391 Easiteach 1 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000158 15 947 1275 -741 -823 0 yyyay[ 953 -803 Easiteach 12 23 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ + CQ = CP 16 0 124000 12 56 -14 0 1 0 23 5 0 00000156 23 4 0 00588800 23 35 0 US_English 15 1015 1055 -722 -783 0 yyyayZ 1021 -767 Easiteach 1 24 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 1134 1174 -722 -783 0 yyyayZ 1140 -767 Easiteach 1 25 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 1257 1297 -721 -782 0 yyyayY 1263 -766 Easiteach 1 26 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 944 1235 -823 -905 0 yyyayY 950 -885 Easiteach 11 27 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ + 2 = 85 16 0 109200 11 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000127 15 1015 1055 -809 -870 0 yyyayX 1021 -854 Easiteach 1 28 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 1096 1136 -807 -868 0 yyyayW 1102 -852 Easiteach 1 29 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 947 1353 -894 -976 0 yyyayW 953 -956 Easiteach 16 30 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ = 85 - 4 = 81 16 0 155200 16 56 -14 0 1 0 23 5 0 000001A8 23 4 0 00588800 23 35 0 US_English 15 1017 1057 -884 -945 0 yyyayV 1023 -929 Easiteach 1 31 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 37 1382 -654 -1010 0 yyyayU 43 -705 Easiteach 175 32 n 0 nny 0 16777248 0 0 0 0 0 0 0 1. Tangent and normal make a right angle, so PQCis a rt angled triangle 2. Work out CP by pythagoras' theorem 3. CQ is the radius, so CQ=2 4. Find PQ by Pythagoras' theorem 16 0 530800 71 45 -11 0 1 0 16 72 0 0 45 -11 0 1 0 16 73 297600 37 45 -11 0 1 0 16 111 0 0 45 -11 0 1 0 16 112 214000 28 45 -11 0 1 0 16 141 0 0 45 -11 0 1 0 16 142 263200 33 45 -11 0 1 0 23 35 0 US_English 23 8 0 00000010 23 5 0 00000545 15 948 1123 -959 -1041 0 yyyayU 954 -1021 Easiteach 6 33 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ = 9 16 0 62800 6 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000104 19 940 1367 -742 -1033 0 yyyyyT Outline 34 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 59 34 None nnnnn None 0 None None -1 0 n 0 0 0 0 34 0 0 0 0 0 0 None 0 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 7 0 0 -1 -1 -1 0 0  0 0 0 0 7 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 5 00000005 24 2 00000079 24 0 4888ff00 15 965 1154 -153 -235 0 yyyaye 971 -215 Easiteach 6 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 4 0 4888FF00 23 5 0 0000021D 15 337 546 -153 -235 0 yyyayd 343 -215 Easiteach 7 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000003FD 15 250 1157 -3 -85 0 yyyayc 256 -65 Easiteach 35 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal - sample problem 16 0 355600 35 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 23 35 18 US_English 23 4 21 FFFFFFFF 22 509 524 -444 -461 0 yyyyyc Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 22 663 678 -345 -357 0 yyyyyb Outline 8 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 650 712 -258 -340 0 yyyaya 656 -320 Easiteach 1 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q 16 0 17600 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 000000FE 15 456 504 -419 -501 0 yyyaya 462 -481 Easiteach 1 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 C 16 0 12000 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000023E 15 900 1431 -288 -430 0 yyyay` 906 -350 Easiteach 35 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the length of the line PQ ? 16 0 205200 21 56 -14 0 1 0 16 22 121600 13 56 -14 0 0 0 23 35 0 US_English 23 5 0 00000203 18 520 831 -453 -577 0 yyyyy` Outline 829 -575 522 -455 12 n 0 n 0 24 5 00000005 24 2 00000079 15 77 335 -305 -387 0 yyyyy_ 83 -367 Easiteach 10 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = 2 16 0 96000 10 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000556 15 24 1369 -661 -729 0 yyyay_ 30 -712 Easiteach 71 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 1. Tangent and normal make a right angle, so PQCis a rt angled triangle 16 0 530800 71 45 -11 0 1 0 23 5 0 00000545 23 8 0 00000010 23 35 0 US_English 15 445 577 -466 -548 0 yyyay^ 451 -528 Easiteach 5 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 (3,3) 16 0 45600 5 56 -14 0 1 0 23 35 0 US_English 23 5 0 000001EA 15 844 888 -520 -602 0 yyyay^ 850 -582 Easiteach 1 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 P 16 0 10400 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000013E 22 823 830 -569 -578 0 yyyyy^ Outline 17 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 879 1063 -518 -600 0 yyyay] 885 -580 Easiteach 7 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 (10,-3) 16 0 66400 7 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000016E 19 9 1444 -659 -758 0 yyyyy] Outline 19 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 15 202 479 -776 -858 0 yyyyy] 208 -838 Easiteach 10 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 A Key Fact 16 0 103600 10 56 -14 0 1 0 23 4 0 FF28B800 23 5 0 000004DA 15 180 1121 -845 -1006 0 yyyay] 186 -914 Easiteach 59 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangents and Normals (at a point) are always Perpendicular 16 0 369200 34 63 -17 0 1 0 16 35 262800 24 63 -17 0 1 0 23 8 0 00000017 23 5 0 000004EE 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 8 0 0 -1 -1 -1 0 0  0 0 0 0 6 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 5 00000005 24 2 00000079 24 0 4888ff00 15 965 1154 -153 -235 0 yyyaye 971 -215 Easiteach 6 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 4 0 4888FF00 23 5 0 0000021D 15 337 546 -153 -235 0 yyyayd 343 -215 Easiteach 7 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000003FD 15 250 1157 -3 -85 0 yyyayc 256 -65 Easiteach 35 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal - sample problem 16 0 355600 35 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 23 35 18 US_English 23 4 21 FFFFFFFF 22 509 524 -444 -461 0 yyyyyc Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 22 663 678 -345 -357 0 yyyyyb Outline 8 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 650 712 -258 -340 0 yyyaya 656 -320 Easiteach 1 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q 16 0 17600 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 000000FE 15 456 504 -419 -501 0 yyyaya 462 -481 Easiteach 1 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 C 16 0 12000 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000023E 15 900 1431 -288 -430 0 yyyay` 906 -350 Easiteach 35 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the length of the line PQ ? 16 0 205200 21 56 -14 0 1 0 16 22 121600 13 56 -14 0 0 0 23 35 0 US_English 23 5 0 00000203 18 520 831 -453 -577 0 yyyyy` Outline 829 -575 522 -455 12 n 0 n 0 24 5 00000005 24 2 00000079 15 77 335 -305 -387 0 yyyyy_ 83 -367 Easiteach 10 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = 2 16 0 96000 10 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000556 15 24 1369 -661 -825 0 yyyay_ 30 -712 Easiteach 110 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 1. Tangent and normal make a right angle, so PQCis a rt angled triangle 2. Work out CP by pythagoras' theorem 16 0 530800 71 45 -11 0 1 0 16 72 0 0 45 -11 0 1 0 16 73 297600 37 45 -11 0 1 0 23 5 0 00000545 23 8 0 00000010 23 35 0 US_English 15 844 888 -520 -602 0 yyyay^ 850 -582 Easiteach 1 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 P 16 0 10400 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000013E 22 823 830 -569 -578 0 yyyyy^ Outline 16 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 879 1063 -518 -600 0 yyyay] 885 -580 Easiteach 7 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 (10,-3) 16 0 66400 7 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000016E 15 330 462 -417 -499 0 yyyay\ 336 -479 Easiteach 5 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 (3,3) 16 0 45600 5 56 -14 0 1 0 23 35 0 US_English 23 5 0 000001EA 18 642 670 -367 -401 0 yyyyy[ Outline 644 -369 668 -399 19 n 0 n 0 24 5 00000005 24 2 00000079 18 666 693 -377 -401 0 yyyyy[ Outline 691 -379 668 -399 20 n 0 n 0 24 5 00000005 24 2 00000079 18 654 682 -380 -413 0 yyyyy[ Outline 668 -399 668 -394 21 n 0 n 0 24 5 00000005 24 2 00000079 18 517 819 -558 -596 0 yyyyy[ Outline 815 -578 521 -576 22 n 0 n 0 24 6 00000011 24 5 00000005 24 2 00000079 18 506 542 -457 -580 0 yyyyyZ Outline 524 -461 524 -576 23 n 0 n 0 24 6 00000011 24 5 00000005 24 2 00000079 19 267 511 -496 -553 0 yyyyyZ Outline 24 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 15 275 514 -483 -565 0 yyyayY 281 -545 Easiteach 10 25 n 0 noy 0 16777248 0 0 0 0 0 0 0 3 - -3 = 6 16 0 88400 10 56 -14 0 1 0 23 5 0 000001D5 23 35 0 US_English 23 4 0 3800A800 19 529 783 -599 -655 0 yyyyyY Outline 26 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 15 536 785 -585 -667 0 yyyayX 542 -647 Easiteach 10 27 n 0 noy 0 16777248 0 0 0 0 0 0 0 10 - 3 = 7 16 0 92400 10 56 -14 0 1 0 23 5 0 00000244 23 35 0 US_English 23 4 0 3800A800 15 341 765 -843 -925 0 yyyyyX 347 -905 Easiteach 19 28 n 0 nny 0 16777248 0 0 0 0 0 0 0 CP = 7 + 6 = 85 16 0 162400 19 56 -14 0 1 0 23 5 0 0000044E 23 35 0 US_English 23 4 0 3800A800 15 483 523 -828 -889 0 yyyayW 489 -873 Easiteach 1 29 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 35 0 US_English 23 5 0 000001C4 23 4 0 3800A800 23 8 0 0000000E 15 591 631 -825 -886 0 yyyayV 597 -870 Easiteach 1 30 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 5 0 000001C4 23 35 0 US_English 23 4 0 3800A800 23 8 0 0000000E 15 395 435 -825 -886 0 yyyayU 401 -870 Easiteach 1 31 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 35 0 US_English 23 5 0 000001C4 23 4 0 3800A800 23 8 0 0000000E 15 341 561 -926 -1008 0 yyyayU 347 -988 Easiteach 8 32 n 0 nny 0 16777248 0 0 0 0 0 0 0 CP = Ö85 16 0 80800 8 56 -14 0 1 0 23 5 0 000001B0 23 35 0 US_English 23 4 0 3800A800 23 8 5 00000014 23 7 5 Symbol 23 7 6 Comic_Sans_MS 19 20 802 -747 -832 0 yyyyyT Outline 33 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 341 802 -832 -1012 0 yyyyyT Outline 34 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 59 27 None nnnnn None 0 None None -1 0 n 0 0 0 0 27 0 0 0 0 0 0 None 0 59 25 None nnnnn None 0 None None -1 0 n 0 0 0 0 25 0 0 0 0 0 0 None 0 59 33 None nnnnn None 0 None None -1 0 n 0 0 0 0 33 0 0 0 0 0 0 None 0 59 34 None nnnnn None 0 None None -1 0 n 0 0 0 0 34 0 0 0 0 0 0 None 0 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 6 0 0 -1 -1 -1 0 0  0 0 0 0 5 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 5 00000005 24 2 00000079 24 0 4888ff00 18 703 733 -327 -366 0 yyyyye Outline 705 -329 731 -364 4 n 0 n 0 24 5 00000005 24 2 00000079 18 693 733 -362 -388 0 yyyyye Outline 731 -364 695 -386 5 n 0 n 0 24 5 00000005 24 2 00000079 18 691 719 -376 -388 0 yyyyye Outline 705 -378 705 -386 6 n 0 n 0 24 5 00000005 24 2 00000079 18 691 706 -376 -388 0 yyyyye Outline 693 -386 704 -378 7 n 0 n 0 24 5 00000005 24 2 00000079 18 693 707 -372 -400 0 yyyyyd Outline 695 -386 705 -386 8 n 0 n 0 24 5 00000005 24 2 00000079 15 965 1152 -154 -236 0 yyyayc 971 -215 Easiteach 6 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 4 0 4888FF00 23 5 0 0000021D 15 337 545 -154 -236 0 yyyayb 343 -215 Easiteach 7 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000003FD 15 422 910 -11 -93 0 yyyaya 428 -72 Easiteach 18 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal 16 0 189600 18 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 15 58 1281 -720 -802 0 yyyyya 64 -782 Easiteach 52 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent - straight line that just touches the circle 16 0 482000 52 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000004F1 23 35 0 US_English 15 59 1247 -833 -975 0 yyyaya 65 -895 Easiteach 96 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal - perpendicular to the tangent and passes through the centre of the circle 16 0 468000 48 56 -14 0 1 0 16 49 396800 47 56 -14 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 0000055B 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 11 0 0 -1 -1 -1 0 0  0 0 0 0 4 0 1550 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 0 4888ff00 24 2 00000079 24 5 00000005 15 422 1221 -10 -92 0 yyyayd 428 -72 Easiteach 33 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Finding the equation of a tangent 16 0 312400 33 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000429 22 500 520 -451 -461 0 yyyyyd Outline 5 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 356 524 -369 -511 0 yyyayc 362 -431 Easiteach 16 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 C (-2,1) 16 0 60000 9 56 -14 0 1 0 16 10 54000 6 56 -14 0 1 0 23 35 0 US_English 23 5 0 000001BD 22 660 678 -345 -360 0 yyyyyb Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 696 893 -311 -393 0 yyyaya 702 -373 Easiteach 8 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 S (4, 3) 16 0 71600 8 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000233 15 976 1263 -137 -219 0 yyyay` 982 -199 Easiteach 12 9 n 0 nny 0 32 0 0 0 0 0 0 0 y = x + 5/3 16 0 107600 12 56 -14 0 1 0 23 5 0 00000398 23 35 0 US_English 48 657 678 -726 -828 0 nyyny` 10 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 141 1008 -880 -962 0 yyyay` 147 -942 Easiteach 39 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 So, the equation is: y - 3 = -3(x-4) 16 0 339600 39 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000509 15 623 1033 -967 -1049 0 yyyay` 629 -1029 Easiteach 18 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 y - 3 = -3x + 12 16 0 156800 18 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000398 48 1055 1076 -135 -237 0 nyyny_ 13 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 331 530 -87 -169 0 yyyay^ 337 -149 Easiteach 7 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 tangent 16 0 72400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 0000021D 23 35 0 US_English 15 108 1295 -647 -729 0 yyyay^ 114 -709 Easiteach 51 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 Gradient of tangent x gradient of normal = -1 16 0 467600 51 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 113 845 -729 -811 0 yyyay^ 119 -791 Easiteach 32 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 Gradient of tangent x = -1 16 0 285600 32 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 119 716 -809 -891 0 yyyay^ 125 -871 Easiteach 24 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 Gradient of tangent = -3 16 0 231600 24 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 1101 1399 -916 -998 0 yyyay^ 1107 -978 Easiteach 12 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 y = -3x + 15 16 0 112000 12 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000160 15 837 1070 -507 -649 0 yyyay] 843 -569 Easiteach 14 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 gradient = m1 16 0 86000 9 56 -14 0 1 0 16 10 44400 4 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000225 15 992 1484 -293 -495 0 yyyay\ 998 -355 Easiteach 45 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 Recall, for perpendicular lines: m1 x m2 = -1 16 0 98800 11 56 -14 0 1 0 16 12 183600 20 56 -14 0 0 0 16 33 123200 12 56 -14 0 0 0 23 4 0 FF28B800 23 5 0 000001DD 23 35 0 US_English 23 4 32 FF702800 23 4 36 FF28B800 23 4 37 FF702800 23 4 38 0000FF00 23 4 40 FF702800 23 4 41 FFFFFFFF 15 681 914 -135 -277 0 yyyay[ 687 -197 Easiteach 14 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 gradient = m2 16 0 86000 9 56 -14 0 1 0 16 10 44400 4 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000029A 19 980 1483 -295 -493 0 yyyyy[ Outline 22 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 19 78 1247 -649 -878 0 yyyyy[ Outline 23 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 19 95 1370 -894 -1056 0 yyyyy[ Outline 24 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 59 22 None nnnnn None 0 None None -1 0 n 0 0 0 0 22 0 0 0 0 0 0 None 0 59 23 None nnnnn None 0 None None -1 0 n 0 0 0 0 23 0 0 0 0 0 0 None 0 59 24 None nnnnn None 0 None None -1 0 n 0 0 0 0 24 0 0 0 0 0 0 None 0 60 6 0 0 61 13 61 9 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 10 0 0 -1 -1 -1 0 0  0 0 0 0 3 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 0 4888ff00 24 2 00000079 24 5 00000005 15 422 1197 -10 -92 0 yyyayd 428 -72 Easiteach 32 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Finding the equation of a normal 16 0 302800 32 56 -14 0 1 0 23 5 0 00000429 23 35 0 US_English 23 4 0 00588800 22 500 520 -451 -461 0 yyyyyd Outline 5 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 356 524 -369 -511 0 yyyayc 362 -431 Easiteach 16 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 C (-2,1) 16 0 60000 9 56 -14 0 1 0 16 10 54000 6 56 -14 0 1 0 23 5 0 000001BD 23 35 0 US_English 22 660 678 -345 -360 0 yyyyyb Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 696 893 -311 -393 0 yyyaya 702 -373 Easiteach 8 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 S (4, 3) 16 0 71600 8 56 -14 0 1 0 23 5 0 00000233 23 35 0 US_English 15 493 1457 -518 -660 0 yyyyya 499 -580 Easiteach 115 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 = 3 - 1 = 2 = 1 4 - -2 6 3 16 0 377200 56 56 -14 0 1 0 16 57 378400 58 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 986 1175 -135 -217 0 yyyay` 992 -197 Easiteach 6 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 35 0 US_English 23 4 0 4888FF00 23 5 0 0000021D 18 1239 1295 -576 -604 0 yyyyy` Outline 1241 -590 1293 -590 11 n 0 n 0 24 5 00000005 24 2 00000079 18 1392 1452 -576 -604 0 yyyyy` Outline 1394 -590 1450 -590 12 n 0 n 0 24 5 00000005 24 2 00000079 18 997 1136 -574 -604 0 yyyyy_ Outline 999 -590 1134 -588 13 n 0 n 0 24 5 00000005 24 2 00000079 15 941 1447 -438 -520 0 yyyay^ 947 -500 Easiteach 20 14 n 0 nny 0 32 0 0 0 0 0 0 0 Gradient of normal = 16 0 195200 20 56 -14 0 1 0 23 35 0 US_English 23 5 0 000004E1 15 20 1063 -638 -780 0 yyyay^ 26 -700 Easiteach 92 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 Recall: line through (x1,y1) with gradient m has equation : y - y1 = m(x - x1) 16 0 410000 44 56 -14 0 1 0 16 45 382400 47 56 -14 0 1 0 23 5 0 00000504 23 35 0 US_English 23 4 0 3800A800 15 33 848 -784 -866 0 yyyay^ 39 -846 Easiteach 37 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 So, the equation is: y - 3 = (x-4) 16 0 318800 37 56 -14 0 1 0 23 5 0 00000509 23 35 0 US_English 48 676 693 -784 -866 0 nyyny^ 17 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 515 881 -871 -953 0 yyyay^ 521 -933 Easiteach 16 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 y - 3 = x - 4/3 16 0 139200 16 56 -14 0 1 0 23 5 0 00000398 23 35 0 US_English 48 676 693 -875 -957 0 nyyny^ 19 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 516 803 -964 -1046 0 yyyay^ 522 -1026 Easiteach 12 20 n 0 nny 0 32 0 0 0 0 0 0 0 y = x + 5/3 16 0 107600 12 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000398 48 595 611 -962 -1045 0 nyyny] 21 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 19 942 1466 -443 -643 0 yyyyy\ Outline 22 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 17 1107 -653 -784 0 yyyyy\ Outline 23 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 29 943 -796 -1063 0 yyyyy\ Outline 24 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 0 0 2000 2000 0 yyyyy[ Outline 25 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 59 22 None nnnnn None 0 None None -1 0 n 0 0 0 0 22 0 0 0 0 0 0 None 0 59 23 None nnnnn None 0 None None -1 0 n 0 0 0 0 23 0 0 0 0 0 0 None 0 59 24 None nnnnn None 0 None None -1 0 n 0 0 0 0 24 0 0 0 0 0 0 None 0 13 0 -1683 1495 0 Storyboard nynN 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00020800 0 0 0 0 0 UK_English 0 0 450 0 -1 0 0 0  0 0 0 0 2 0 1550 0 0 -810 2318 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 19 45 495 -80 -417 0 nyyayg Outline 529 n 0 n 1 0 0 0 19 515 965 -80 -417 0 nyyayg Outline 530 n 0 n 2 0 0 0 19 985 1435 -80 -417 0 nyyayg Outline 531 n 0 n 3 0 0 0 19 45 495 -472 -809 0 nyyayg Outline 532 n 0 n 4 0 0 0 19 515 965 -472 -809 0 nyyayg Outline 533 n 0 n 5 0 0 0 19 985 1435 -472 -809 0 nyyayg Outline 534 n 0 n 6 0 0 0 19 45 495 -864 -1201 0 nyyayg Outline 535 n 0 n 7 0 0 0 19 515 965 -864 -1201 0 nyyayg Outline 536 n 0 n 8 0 0 0 19 985 1435 -864 -1201 0 nyyayg Outline 537 n 0 n 9 0 0 0 19 45 495 -1256 -1593 0 nyyayg Outline 538 n 0 n 10 0 0 0 19 515 965 -1256 -1593 0 nyyayg Outline 539 n 0 n 11 0 0 0 19 985 1435 -1256 -1593 0 nyyayg Outline 540 n 0 n 12 0 0 0 13 0 -1155 1495 0 E:\Sixth_Form\Core1\Circles\circles_-_revise.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 12 0 0 -1 -1 -1 0 0  0 0 0 0 1 0 1550 0 0 0 2318 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yy 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100