1

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.

2

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?

3

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).