Question

A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then find its radius.

• A. 16 cm
• B. 14 cm
• C. 18 cm
• D. 20 cm

Answer 1

The correct option is B 14 cm

Given :
Side of square = 22 cm
Perimeter of square
$=4\times \text{side}=4\times 22=88cm$

Now, 88 cm wire is rebent to form a circle.
So, circumference of the circle is 88 cm.
$\Rightarrow 2\pi r=88$
$r=\frac{88}{2\pi }=\frac{88\times 7}{2\times 22}=14cm$