Question

Find the perimeter of a square inscribed in a circle of radius $7$ cm

Answer 1

$r=7cm$

$\Rightarrow 2r=14cm$

$a\sqrt{2}$ is the side of a square

so, $a\sqrt{2}=14cm$

$a=\frac{14}{\sqrt{2}}$

$\Rightarrow a=7\sqrt{2}$

we know, perimeter of a square $=4a$

$=4\times 7\sqrt{2}=28\sqrt{2}$