Radian measure, arc length and exact valuesEdexcel A-Level Maths: Mind map

Exam questions on Radian measure, arc length and exact values

1. A sector $OAB$ of a circle has centre $O$, radius $6$ cm and angle $AOB=\frac{2\pi}{3}$ radians.
   Find the exact perimeter of the sector $OAB$.2 marks
2. Consider the angle $\theta=\frac{5\pi}{6}$ radians, which lies in the second quadrant.
   Hence show that $\tan\theta=-\frac{\sqrt3}{3}$.2 marks
3. A sector of a circle of radius $5$ cm has perimeter $16$ cm. The angle of the sector is $\theta$ radians.
   Find the value of $\theta$.3 marks