Jambmaths question:
A circular arc subtends angles 150o at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.
Option A:
30$\pi $cm2
Option B:
60$\pi $cm2
Option C:
120$\pi $cm2
Option D:
150$\pi $cm2
Jamb Maths Solution:
$\text{Area of sector }=\frac{\theta }{{{360}^{\circ }}}\times \pi {{r}^{2}}=\frac{{{150}^{\circ }}}{{{360}^{\circ }}}\times \pi ({{12}^{2}})=\frac{150}{360}\times 144\pi =60\pi c{{m}^{2}}$
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