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JAMB Mathematics 2012 Paper

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Question : 46

Total: 48

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 $^2$

Solution:

Area of sector = $\frac{\theta}{360^{\circ}} \times \pi r^{2}$

= $\frac{150}{360} \times \pi \times 12^{2}$

= 60 $\pi$ cm $^{2}$

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