Question

The perimeters of a circular and a square field are same If the area of square field be 12100 sq metres the area of circular field is

• A. $15200m^2$
• B. $15400m^2$
• C. $15600m^2$
• D. $15100m^2$

Answer 1

Answer: (B)

$15400m^2$

Area of square field =$12100sqmetres$
$\therefore$ Side of field= $\sqrt{12100}=110$ metres
$\therefore$ Its perimeter $=4xside$
$=4x110=440$ metres
Sience perimeter of square field = perimeter of circular field
$\therefore$ Perimeter of circular field $=440$ metres
Let the radius of field be r metres
$\therefore$ $2\pi =440$
$r=\frac{440\times 7}{44}$
=70 metres
$\therefore$ Area of circular field=$\pi r^2$
$=\frac{22}{7}\times 70\times 70=15400m^2$