Question

Is the area of the circle inscribed in a square of side $a$ $cm$, $a^2$ $c{m}^2$? Give reasons for your answer.

• A. True
• B. False

Answer 1

The correct option is B False

Compute the area of the inscribed circle :

Given: Side of the square$=a$

from the figure, the radius of the circle$=\frac{a}{2}$

We know that, the area of the circle $=\mathrm{\pi }{\left(\mathrm{radius}\right)}^2$

$\Rightarrow$ area of the circle $=\mathrm{\pi }{\left(\frac{\mathrm{a}}{2}\right)}^2$

$\Rightarrow$ area of the circle $=\frac{\mathrm{\pi }}{4}{a}^{2}c{m}^2$

Hence, the given statement is false.