Question

In the figure, three sectors of a circle of radius $7	ext{ cm}$ making central angles $60^\circ$, $80^\circ$ and $40^\circ$ are shown. The area of the shaded region is :

Accepted Answer

A. Total central angle = $60^\circ + 80^\circ + 40^\circ = 180^\circ$. Combined area = $\frac{180^\circ}{360^\circ} 	imes \pi r^2 = \frac{1}{2} 	imes \frac{22}{7} 	imes 7^2 = 77	ext{ cm}^2$.

Area of shaded sectors

Explanation

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