A circular arc subtends angle 150^\circ at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.
A
30\(\pi\) cm\(^2\)
B
60\(\pi\) cm\(^2\)
C
120\(\pi\) cm\(^2\)
D
150\(\pi\) cm\(^2\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Area of sector = \(\frac{\theta}{360^\circ} \times \pi r^{2}\)
= \(\frac{150}{360} \times \pi \times 12^{2}\)
= 60\(\pi\) cm\(^{2}\)
Source: Myschool Past Questions Archive (Record #54914)