Question

A square of side 3 cm is circumscribed by a circle then the area of the circle is

Answer 1

Given that,

Square side = 3 cm

We know that,

The diagonal of the square is √2 times the length of the side.

So, The diameter of the circle will be 3√2 cm.

We need to calculate the area of the circle

Using formula of area

$A=\pi r^2$

Put the value into th formula

$A=\pi\times(\dfrac{3\sqrt{2}}{2})^2$

$A=14.13\ cm^2$

Hence, The area of the circle is 14.13 cm²