3.7 Radian measureIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 3.7 Radian measure

1. A sector $OAB$ of a circle has centre $O$, radius 6 cm and angle $A\hat{O}B=\frac{2\pi}{3}$.
   Find the perimeter of the sector, correct to 3 significant figures.2 marks
2. An angle $\theta$ is measured as $150^\circ$.
   A circular sector has angle $\theta$ and radius 12 cm. Find the exact length of its arc.2 marks
3. A sector $OPQ$ of a circle with centre $O$ and radius $r$ cm has arc length 15 cm and area 75 cm$^2$.
   Find the value of $r$ and the size of angle $P\hat{O}Q$ in radians.3 marks