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 the square, where $O$ and $O^{\prime }$ are centres of the circles. Find the area of shaded region.

Answer 1

Side of square $28cm$

The area of square $28\times 28=784c{m}^2$

The radius of circle is $14cm$

The area of circle is $=\frac{22}{7}\times 14\times 14$

$\Rightarrow 28\times 14=392c{m}^2$

The overlapped area is $\frac{90}{360}\times 392=\frac{1}{4}\times 392=98c{m}^2$

The resultant area of circle is $392-98=294c{m}^2$

The total area is $784+294+294=1372c{m}^2$