Question

The difference in the area of a square of perimeter $88$ m and a circle with same circumference is

• A. 166 $c{m}^2$
• B. 122 $c{m}^2$
• C. 133 $c{m}^2$
• D. 132 $c{m}^2$

Answer 1

The correct option is D 132 $c{m}^2$

Perimeter of $sq=88cm$
$\therefore$ side of $sq=22cm$
$\Rightarrow$ area of sq $=484c{m}^2$
$C=2\pi r=88\Rightarrow r=14$
$\therefore Area=\frac{22}{7}\times 14\times 14=616c{m}^2$
Difference in the areas $=616-484=132c{m}^2$