Question

In the given figure, radius of the circle is 7 cm. Find the area of the shaded region in $c{m}^2$.

• A. 84
• B. 80
• C. 96
• D. 88

Answer 1

The correct option is A

84

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

Their total area = 2$\pi r^2$ = 2$\times \frac{22}{7}$ x 49 = 308 $c{m}^2$
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 $c{m}^2$