Question

In the given figure, the side of square is $28cm$, and radius of each circle is half of the length of the side of square where $O$ and $O^{\prime }$ are centres of the circles. Find the area of shaded region.

Answer 1

Side of square $=a=28m$

Radius of circle $=\frac{1}{2}$ side of square

$=\frac{1}{2}\times 28$

$=14cm$

$\because$ the return of square is the center of the two circless. the angle will be $90$ and the overlapping area will be equal to $1/4$ are of a circle

Hence,

Total area $=2\times \frac{3}{4}$ area of circle $+$ area of square

$=2\times \frac{3}{4}\times \pi r^2+2^2$

$=\frac{2}{3}\times \frac{3}{4}\times \frac{22}{7}\times 14\times 14+28\times 28$

$=308+784$

$=1092c{m}^2$