Question

A circle is inscribed inside a square of area 100 ${cm}^2$. Radius of the circle is ___ $cm.$

Answer 1

Area of square $=100c{m}^2$

$\Rightarrow S^2=100$ [$S$ is the side of the square]

$\Rightarrow S=10cm$
The diameter of the circle is equal to the side of the given square.
Therefore, diameter of the circle $=10cm$

Thus, Radius $=\frac{\text{diameter}}{2}=\frac{10}{2}=5cm$