Question

A wire is bent into the form of a square of side $27.5cm$. The wire is straightened and bent into the form of a circle. What will be the radius of the circle so formed

Answer 1

The perimeter of square $=$ length of wire

$\Rightarrow$ length of wire $=4\times$ $27.5=110$ cm

Now, a circumference of circle $=$ length of wire

$\Rightarrow 2\pi r=110cm$

$\Rightarrow r=\frac{110\times 7}{44}=17.5cm$

Radius of circle $=17.5$ cm