Question

A square is inscribed in a circular table cloth of radius $35cm$. If the cloth is to be coloured red leaving the square, then the find the area to be coloured.

Answer 1

We have,

Radius $\left(r\right)$ be the circular table$=35cm.$

Now,

Area of circle $=\pi r^2$

$=\frac{22}{7}\times 35\times 35$

$=22\times 5\times 35$

$=110\times 35$

$=3850c{m}^2.$

In the square,

The side of square $=$ Diameter of circle

Now,

Diameter of circle $=2\times radiusofcircle$

$=2\times 35$

$=70cm$

Area of square$=sid{e}^2$

Area of square

$=70\times 70$

$=4900c{m}^2.$

Now,

Painted area$\text{=Area}\text{of}\text{square}\text{-Area}\text{of}\text{circle}$

$=4900-3850$

$=1050c{m}^2.$

Hence, this is the answer.