Question

A piece of wire in the form of a rectangle $15cm$ long and $7cm$ broad is reshaped and bent into the form of a circle. Find the radius of the circle.

• A. $5cm$
• B. $7cm$
• C. $8cm$
• D. $9cm$

Answer 1

The correct option is B $7cm$

When the wire is reshaped to form a circle, the length of the wire will remain same.
=> Perimeter of the circle $=$ Perimeter of the rectangle
$=>2\times \frac{22}{7}\times radius=2(15+7)$
$=>radius=7cm$