Question

A wire bent in the form a square incloses an area of 484 $m^2$ but if the same wire is bent in the form of a circle the area enclosed will be

• A. $308m^2$
• B. $462m^2$
• C. $154m^2$
• D. $616m^2$

Answer 1

Answer: (D)

$616m^2$

Area of square wire ${side}^2=484m^2$
Hence, length of side $=22m$

Perimeter of the square wire $=4\times 22=88m$

The same $88m$ wire is used to make a circle.

Hence, circumference of the circle

$=88m$

$=>2\pi \times radius=88m$

$=>2\times \frac{22}{7}\times radius=88m$

radius of the circle formed $=14m$

Area of a circle of radius r $=\pi r^2$
Area of the circle formed $=\frac{22}{7}\times 14\times 14=616m^2$