Question

In the given figure, ABCD is a square of side 14 cm. Find the area of the shaded portion.

Answer 1

Side of a square, $a=14cm$

Radius of each circle, $r=\frac{7}{2}cm$

Area of the shaded portion = Area of a square - 4 $\times$ Area of a circle

$=a^2-4\left(\pi r^2\right)$

$=14\times 14-4\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}$

$=196-154$

$\therefore$ Area of the shaded portion $=42cm$${}^2$.