Question

Find the area of the shaded region in the figure, where $ABCD$ is a square of side $14cm$

Answer 1

Given ABCD is a square of side $=14cm$
Side of a square=$2\times$diameter of circle

side of square= $2\left(2\right)\times$ radius of circle

$\Rightarrow 14=4r$

$\therefore r=\frac{14}{4}=\frac{7}{2}cm$

now area of shaded region = Area of square - ($4\times$ area of circle )

Area = $(a{)}^2-[4\times \pi \times \left(\frac{7}{2}{)}^2\right]$
=$(14{)}^2-[4\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}]$
=$196-154$

Area of shaded region = $42c{m}^2$