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Question

In the given figure, radius of the circle is 7 cm. Find the area of the shaded region in cm2.

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Solution

From the figure, we can understand that two circles of radius 7 cm exist in the rectangle.

Their total area = 2πr2 = 2 × 227 x 49 = 308 cm2
From the figure, it is evident that the breadth of the rectangle is twice the radius of the circle. Same way length of the rectangle is 4 times radius of the circle, as two circles can be accommodated in the rectangle.

Hence, length = 4 x 7 = 28 cm and breadth = 2 x 7 = 14 cm.

Area of the rectangle = 28 x 14 = 392

Required area = 392 - 308 = 84 cm2


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