Fixed anti-copying papers A–J. The one-page answer key is a separate file. Use the Print button, top right.
Arc Length & Sector Area · MCQ assessment
Version A
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $12$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$48\pi$ cm²B$24\pi$ cm²C$4\pi$ cm²D$144\pi$ cm²
2A sector of a circle has radius $10$ cm and angle $144^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$100\pi$ cm²B$40\pi$ cm²C$80\pi$ cm²D$8\pi$ cm²
3A sector of a circle has radius $8$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $12$ cm and angle $40^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $4$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $16$ cm and angle $60^\circ$ at the centre. Work out the area of the sector.
A804B134C8.38D16.8
7The diagram shows a sector of a circle with radius $5$ cm and angle $100^\circ$ at the centre. Work out the length of the arc of the sector.
A4.36B21.8C31.4D8.73
8The diagram shows a sector of a circle with radius $4$ cm and angle $45^\circ$ at the centre. Work out the area of the sector.
A3.14B6.28C50.3D1.57
9The diagram shows a sector of a circle with radius $4$ cm and angle $120^\circ$ at the centre. Work out the length of the arc of the sector.
A4.19B8.38C25.1D16.8
10The diagram shows a sector of a circle with radius $4$ cm and angle $80^\circ$ at the centre. Work out the area of the sector.
A11.2B5.59C2.79D50.3
11The diagram shows a sector of a circle with radius $12$ cm and angle $210^\circ$ at the centre. Work out the length of the arc of the sector.
A22.0B44.0C75.4D264
12A running track is made of two straight sections, each of length $118$ m, and two semicircular ends, each of radius $33$ m. A runner wants to run at least $2665$ m. What is the smallest number of complete laps they must run?
A12B8C7D6
13A sector of a circle has an angle of $63^\circ$ at the centre. What percentage of the area of a semicircle of the same radius is the area of this sector?
A65B35C17.5D70
14A sector of a circle has angle $45^\circ$ at the centre. The length of its arc is $11.8$ cm. Work out the radius of the sector.
A9.27B1.88C15.0D30.0
15The diagram shows a sector of a circle with radius $6$ cm. The area of the sector is $3\pi$ cm². Work out the angle $x$ of the sector. Give your answer in degrees.
A30B180C15D330
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Arc Length & Sector Area · MCQ assessment
Version B
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $9$ cm and angle $120^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$27\pi$ cm²B$54\pi$ cm²C$81\pi$ cm²D$6\pi$ cm²
2A sector of a circle has radius $6$ cm and angle $120^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$36\pi$ cm²B$4\pi$ cm²C$12\pi$ cm²D$24\pi$ cm²
3A sector of a circle has radius $5$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $12$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $3$ cm and angle $72^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $12$ cm and angle $72^\circ$ at the centre. Work out the area of the sector.
A90.5B452C15.1D7.54
7The diagram shows a sector of a circle with radius $11$ cm and angle $120^\circ$ at the centre. Work out the length of the arc of the sector.
A127B23.0C11.5D69.1
8The diagram shows a sector of a circle with radius $10$ cm and angle $240^\circ$ at the centre. Work out the area of the sector.
A20.9B41.9C209D314
9The diagram shows a sector of a circle with radius $8$ cm and angle $225^\circ$ at the centre. Work out the length of the arc of the sector.
A31.4B50.3C15.7D126
10The diagram shows a sector of a circle with radius $19$ cm and angle $45^\circ$ at the centre. Work out the area of the sector.
A14.9B7.46C142D1130
11The diagram shows a sector of a circle with radius $7$ cm and angle $30^\circ$ at the centre. Work out the length of the arc of the sector.
A1.83B44.0C12.8D3.67
12A running track is made of two straight sections, each of length $107$ m, and two semicircular ends, each of radius $43$ m. A runner wants to run at least $4235$ m. What is the smallest number of complete laps they must run?
A20B8C13D9
13The diagram shows a sector of a circle with radius $7$ cm. The perimeter of the sector is $18.9$ cm. Work out the angle $x$ of the sector.
A155B80.2C20.1D40.1
14A sector of a circle has angle $150^\circ$ at the centre. The length of its arc is $31.4$ cm. Work out the radius of the sector.
A24.0B5.00C12.0D82.2
15The diagram shows a sector $OAB$ of a circle, centre $O$, with $OA = OB = 9$ cm and angle $AOB = 110^\circ$. $AB$ is a chord. Work out the area of the shaded segment (between the chord $AB$ and the arc).
A77.8B39.7C38.1D116
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Arc Length & Sector Area · MCQ assessment
Version C
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $8$ cm and angle $72^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
2A sector of a circle has radius $3$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $11$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $5$ cm and angle $144^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$4\pi$ cm²B$10\pi$ cm²C$25\pi$ cm²D$20\pi$ cm²
5A sector of a circle has radius $11$ cm and angle $40^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $10$ cm and angle $60^\circ$ at the centre. Work out the length of the arc of the sector.
A62.8B5.24C10.5D52.4
7The diagram shows a sector of a circle with radius $10$ cm and angle $210^\circ$ at the centre. Work out the area of the sector.
A183B18.3C314D36.7
8The diagram shows a sector of a circle with radius $9$ cm and angle $90^\circ$ at the centre. Work out the length of the arc of the sector.
A7.07B56.5C63.6D14.1
9The diagram shows a sector of a circle with radius $6$ cm and angle $30^\circ$ at the centre. Work out the area of the sector.
A113B9.42C1.57D3.14
10The diagram shows a sector of a circle with radius $4$ cm and angle $150^\circ$ at the centre. Work out the length of the arc of the sector.
A5.24B20.9C10.5D25.1
11The diagram shows a sector of a circle with radius $16$ cm and angle $210^\circ$ at the centre. Work out the area of the sector.
A29.3B469C58.6D804
12A sector of a circle has an angle of $36^\circ$ at the centre. What percentage of the area of a semicircle of the same radius is the area of this sector?
A40B80C20D10
13The diagram shows a sector of a circle with radius $14$ cm and angle $45^\circ$ at the centre. Work out the perimeter of the sector.
A105B25.0C11.0D39.0
14The diagram shows a sector of a circle with radius $4$ cm. The area of the sector is $2\pi$ cm². Work out the angle $x$ of the sector. Give your answer in degrees.
A45B23C180D315
15The diagram shows a sector $OAB$ of a circle, centre $O$, with $OA = OB = 7$ cm and angle $AOB = 80^\circ$. $AB$ is a chord. Work out the area of the shaded segment (between the chord $AB$ and the arc).
A10.1B34.2C24.1D58.3
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Arc Length & Sector Area · MCQ assessment
Version D
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $10$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
2A sector of a circle has radius $12$ cm and angle $144^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $4$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $4$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $5$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $18$ cm and angle $200^\circ$ at the centre. Work out the length of the arc of the sector.
A113B62.8C565D31.4
7The diagram shows a sector of a circle with radius $4$ cm and angle $144^\circ$ at the centre. Work out the area of the sector.
A50.3B5.03C20.1D10.1
8The diagram shows a sector of a circle with radius $10$ cm and angle $200^\circ$ at the centre. Work out the length of the arc of the sector.
A17.5B62.8C34.9D175
9The diagram shows a sector of a circle with radius $19$ cm and angle $240^\circ$ at the centre. Work out the area of the sector.
A1130B756C79.6D39.8
10The diagram shows a sector of a circle with radius $5$ cm and angle $30^\circ$ at the centre. Work out the length of the arc of the sector.
A1.31B2.62C6.54D31.4
11The diagram shows a sector of a circle with radius $13$ cm and angle $120^\circ$ at the centre. Work out the area of the sector.
A531B13.6C27.2D177
12The diagram shows a sector of a circle with radius $5$ cm and angle $100^\circ$ at the centre. Work out the area of the sector. Give your answer in terms of $\pi$.
13A running track is made of two straight sections, each of length $80$ m, and two semicircular ends, each of radius $32$ m. A runner wants to run at least $3997$ m. What is the smallest number of complete laps they must run?
A12B11C16D25
14A sector of a circle has an angle of $18^\circ$ at the centre. What percentage of the area of a semicircle of the same radius is the area of this sector?
A10B20C5D90
15The diagram shows a sector of a circle with radius $14$ cm. The perimeter of the sector is $52.4$ cm. Work out the angle $x$ of the sector.
A99.9B214C49.9D200
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Arc Length & Sector Area · MCQ assessment
Version E
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $6$ cm and angle $40^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
2A sector of a circle has radius $3$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $7$ cm and angle $40^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $3$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $10$ cm and angle $72^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$100\pi$ cm²B$4\pi$ cm²C$40\pi$ cm²D$20\pi$ cm²
6The diagram shows a sector of a circle with radius $11$ cm and angle $60^\circ$ at the centre. Work out the length of the arc of the sector.
A11.5B5.76C69.1D63.4
7The diagram shows a sector of a circle with radius $14$ cm and angle $120^\circ$ at the centre. Work out the area of the sector.
A29.3B14.7C205D616
8The diagram shows a sector of a circle with radius $18$ cm and angle $300^\circ$ at the centre. Work out the length of the arc of the sector.
A848B113C47.1D94.2
9The diagram shows a sector of a circle with radius $16$ cm and angle $72^\circ$ at the centre. Work out the area of the sector.
A10.1B161C804D20.1
10The diagram shows a sector of a circle with radius $16$ cm and angle $150^\circ$ at the centre. Work out the length of the arc of the sector.
A335B41.9C101D20.9
11The diagram shows a sector of a circle with radius $15$ cm and angle $144^\circ$ at the centre. Work out the area of the sector.
A707B18.8C283D37.7
12A sector of a circle has an angle of $54^\circ$ at the centre. What percentage of the area of a semicircle of the same radius is the area of this sector?
A70B30C60D15
13The diagram shows a sector of a circle with radius $4$ cm and angle $225^\circ$ at the centre. Work out the length of the arc of the sector. Give your answer in terms of $\pi$.
A$10\pi$ cmB$5\pi$ cmC$8\pi$ cmD$\dfrac{5\pi}{2}$ cm
14The diagram shows a sector of a circle with radius $5$ cm. The perimeter of the sector is $23.1$ cm. Work out the angle $x$ of the sector.
A300B265C150D75.1
15The diagram shows a sector $OAB$ of a circle, centre $O$, with $OA = OB = 10$ cm and angle $AOB = 160^\circ$. $AB$ is a chord. Work out the area of the shaded segment (between the chord $AB$ and the arc).
A157B123C17.1D140
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Arc Length & Sector Area · MCQ assessment
Version F
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $5$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
2A sector of a circle has radius $12$ cm and angle $144^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $10$ cm and angle $120^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $3$ cm and angle $120^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$6\pi$ cm²B$9\pi$ cm²C$2\pi$ cm²D$3\pi$ cm²
5A sector of a circle has radius $11$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $15$ cm and angle $80^\circ$ at the centre. Work out the length of the arc of the sector.
A10.5B20.9C157D94.2
7The diagram shows a sector of a circle with radius $4$ cm and angle $100^\circ$ at the centre. Work out the area of the sector.
A14.0B50.3C3.49D6.98
8The diagram shows a sector of a circle with radius $12$ cm and angle $36^\circ$ at the centre. Work out the length of the arc of the sector.
A3.77B75.4C7.54D45.2
9The diagram shows a sector of a circle with radius $20$ cm and angle $315^\circ$ at the centre. Work out the area of the sector.
A1100B55.0C1260D110
10The diagram shows a sector of a circle with radius $6$ cm and angle $300^\circ$ at the centre. Work out the length of the arc of the sector.
A31.4B37.7C94.2D15.7
11The diagram shows a sector of a circle with radius $4$ cm and angle $45^\circ$ at the centre. Work out the area of the sector.
A50.3B3.14C1.57D6.28
12The diagram shows a sector of a circle with radius $3$ cm and angle $90^\circ$ at the centre. Work out the area of the sector. Give your answer in terms of $\pi$.
13A sector of a circle has radius $16$ cm. The length of its arc is $83.8$ cm. Work out the area of the sector.
A1340B670C41.9D10700
14The diagram shows a sector of a circle with radius $8$ cm. The area of the sector is $48\pi$ cm². Work out the angle $x$ of the sector. Give your answer in degrees.
A270B135C2160D90
15The diagram shows a sector of a circle with radius $14$ cm. The perimeter of the sector is $42.7$ cm. Work out the angle $x$ of the sector.
A175B120C60.2D30.1
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Arc Length & Sector Area · MCQ assessment
Version G
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $4$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
2A sector of a circle has radius $9$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $7$ cm and angle $144^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $11$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $8$ cm and angle $144^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $12$ cm and angle $30^\circ$ at the centre. Work out the length of the arc of the sector.
A37.7B6.28C3.14D75.4
7The diagram shows a sector of a circle with radius $6$ cm and angle $30^\circ$ at the centre. Work out the area of the sector.
A9.42B1.57C113D3.14
8The diagram shows a sector of a circle with radius $16$ cm and angle $30^\circ$ at the centre. Work out the length of the arc of the sector.
A67.0B8.38C4.19D101
9The diagram shows a sector of a circle with radius $7$ cm and angle $240^\circ$ at the centre. Work out the area of the sector.
A154B103C29.3D14.7
10The diagram shows a sector of a circle with radius $5$ cm and angle $36^\circ$ at the centre. Work out the length of the arc of the sector.
A1.57B3.14C7.85D31.4
11The diagram shows a sector of a circle with radius $6$ cm and angle $90^\circ$ at the centre. Work out the area of the sector.
A28.3B4.71C113D9.42
12A sector of a circle has radius $5$ cm. The length of its arc is $27.5$ cm. Work out the area of the sector.
A13.8B138C344D68.8
13A sector of a circle has an angle of $45^\circ$ at the centre. What percentage of the area of a semicircle of the same radius is the area of this sector?
A50B12.5C75D25
14A running track is made of two straight sections, each of length $97$ m, and two semicircular ends, each of radius $44$ m. A runner wants to run at least $4350$ m. What is the smallest number of complete laps they must run?
A23B10C9D14
15The diagram shows a sector of a circle with radius $14$ cm. The perimeter of the sector is $37.8$ cm. Work out the angle $x$ of the sector.
A155B80.2C40.1D20.1
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Arc Length & Sector Area · MCQ assessment
Version H
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A sector of a circle has radius $12$ cm and angle $72^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
2A sector of a circle has radius $3$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $7$ cm and angle $120^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $9$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $10$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $11$ cm and angle $240^\circ$ at the centre. Work out the area of the sector.
A380B253C46.1D23.0
7The diagram shows a sector of a circle with radius $12$ cm and angle $210^\circ$ at the centre. Work out the length of the arc of the sector.
A22.0B75.4C44.0D264
8The diagram shows a sector of a circle with radius $15$ cm and angle $210^\circ$ at the centre. Work out the area of the sector.
A27.5B412C707D55.0
9The diagram shows a sector of a circle with radius $17$ cm and angle $100^\circ$ at the centre. Work out the length of the arc of the sector.
A14.8B29.7C252D107
10The diagram shows a sector of a circle with radius $17$ cm and angle $300^\circ$ at the centre. Work out the area of the sector.
A757B89.0C908D44.5
11The diagram shows a sector of a circle with radius $7$ cm and angle $135^\circ$ at the centre. Work out the length of the arc of the sector.
A8.25B16.5C57.7D44.0
12A sector of a circle has an angle of $45^\circ$ at the centre. What percentage of the area of a semicircle of the same radius is the area of this sector?
A50B25C12.5D75
13A sector of a circle has radius $13$ cm. The length of its arc is $6.8$ cm. Work out the area of the sector.
A575B88.4C3.40D44.2
14The diagram shows a sector of a circle with radius $5$ cm. The area of the sector is $10\pi$ cm². Work out the angle $x$ of the sector. Give your answer in degrees.
A144B72C720D216
15The diagram shows a sector $OAB$ of a circle, centre $O$, with $OA = OB = 10$ cm and angle $AOB = 72^\circ$. $AB$ is a chord. Work out the area of the shaded segment (between the chord $AB$ and the arc).
A15.3B62.8C47.6D110
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Arc Length & Sector Area · MCQ assessment
Version I
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
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1A sector of a circle has radius $12$ cm and angle $120^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
A$96\pi$ cm²B$48\pi$ cm²C$144\pi$ cm²D$8\pi$ cm²
2A sector of a circle has radius $8$ cm and angle $60^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $10$ cm and angle $120^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $11$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $8$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $9$ cm and angle $30^\circ$ at the centre. Work out the length of the arc of the sector.
A2.36B21.2C4.71D56.5
7The diagram shows a sector of a circle with radius $18$ cm and angle $225^\circ$ at the centre. Work out the area of the sector.
A70.7B35.3C636D1020
8The diagram shows a sector of a circle with radius $9$ cm and angle $144^\circ$ at the centre. Work out the length of the arc of the sector.
A102B22.6C11.3D56.5
9The diagram shows a sector of a circle with radius $14$ cm and angle $144^\circ$ at the centre. Work out the area of the sector.
A35.2B616C246D17.6
10The diagram shows a sector of a circle with radius $15$ cm and angle $45^\circ$ at the centre. Work out the length of the arc of the sector.
A11.8B88.4C94.2D5.89
11The diagram shows a sector of a circle with radius $7$ cm and angle $80^\circ$ at the centre. Work out the area of the sector.
A4.89B34.2C9.77D154
12A running track is made of two straight sections, each of length $92$ m, and two semicircular ends, each of radius $34$ m. A runner wants to run at least $2052$ m. What is the smallest number of complete laps they must run?
A12B5C8D6
13A sector of a circle has radius $15$ cm. The length of its arc is $31.4$ cm. Work out the area of the sector.
A3530B236C15.7D471
14The diagram shows a sector of a circle with radius $6$ cm. The area of the sector is $20\pi$ cm². Work out the angle $x$ of the sector. Give your answer in degrees.
A160B100C200D1200
15The diagram shows a sector $OAB$ of a circle, centre $O$, with $OA = OB = 8$ cm and angle $AOB = 160^\circ$. $AB$ is a chord. Work out the area of the shaded segment (between the chord $AB$ and the arc).
A78.4B100C10.9D89.4
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Arc Length & Sector Area · MCQ assessment
Version J
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
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1A sector of a circle has radius $10$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
2A sector of a circle has radius $6$ cm and angle $80^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
3A sector of a circle has radius $3$ cm and angle $40^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
4A sector of a circle has radius $11$ cm and angle $40^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
5A sector of a circle has radius $8$ cm and angle $150^\circ$ at the centre. Choose the correct expression for the area of the sector, in terms of $\pi$.
6The diagram shows a sector of a circle with radius $8$ cm and angle $80^\circ$ at the centre. Work out the length of the arc of the sector.
A44.7B50.3C5.59D11.2
7The diagram shows a sector of a circle with radius $12$ cm and angle $100^\circ$ at the centre. Work out the area of the sector.
A10.5B126C20.9D452
8The diagram shows a sector of a circle with radius $4$ cm and angle $144^\circ$ at the centre. Work out the length of the arc of the sector.
A5.03B20.1C10.1D25.1
9The diagram shows a sector of a circle with radius $8$ cm and angle $225^\circ$ at the centre. Work out the area of the sector.
A31.4B15.7C126D201
10The diagram shows a sector of a circle with radius $5$ cm and angle $200^\circ$ at the centre. Work out the length of the arc of the sector.
A17.5B31.4C8.73D43.6
11The diagram shows a sector of a circle with radius $11$ cm and angle $225^\circ$ at the centre. Work out the area of the sector.
A21.6B380C43.2D238
12The diagram shows a sector of a circle with radius $5$ cm and angle $100^\circ$ at the centre. Work out the length of the arc of the sector. Give your answer in terms of $\pi$.
A$\dfrac{25\pi}{18}$ cmB$\dfrac{125\pi}{18}$ cmC$\dfrac{25\pi}{9}$ cmD$10\pi$ cm
13A sector of a circle has radius $6$ cm. The length of its arc is $25.1$ cm. Work out the area of the sector.
A151B12.6C452D75.3
14The diagram shows a sector of a circle with radius $14$ cm. The perimeter of the sector is $45.6$ cm. Work out the angle $x$ of the sector.
A144B36.0C187D72.0
15The diagram shows a sector $OAB$ of a circle, centre $O$, with $OA = OB = 13$ cm and angle $AOB = 80^\circ$. $AB$ is a chord. Work out the area of the shaded segment (between the chord $AB$ and the arc).
A201B83.2C118D34.8
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