Exit ticket · Arc Length & Sector Area
- The diagram shows a sector of a circle with radius $12$ cm and angle $270^\circ$ at the centre.
Work out the length of the arc of the sector. - A running track is made of two straight sections, each of length $97$ m, and two semicircular ends, each of radius $37$ m.
A runner wants to run at least $4718$ m.
What is the smallest number of complete laps they must run? - The diagram shows a sector $OAB$ of a circle, centre $O$, with $OA = OB = 6$ cm and angle $AOB = 130^\circ$. $AB$ is a chord.
Work out the area of the shaded segment (between the chord $AB$ and the arc).