A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.
- 30\(\pi\) cm\(^2\)
-
60\(\pi\) cm\(^2\)
- 120\(\pi\) cm\(^2\)
- 150\(\pi\) cm\(^2\)
The correct answer is: B
Explanation
Area of sector = \(\frac{\theta}{360°} \times \pi r^{2}\)
= \(\frac{150}{360} \times \pi \times 12^{2}\)
= 60\(\pi\) cm\(^{2}\)
There is an explanation video available .