Question

The perimeters of a circular field and a square field are equal. If the area of the square field is $12100$ $m^2$, then the area of the circular field will be

• A. $15500$ $m^2$
• B. $15400$ $m^2$
• C. $15200$ $m^2$
• D. $15300$ $m^2$

Answer 1

The correct option is B $15400$ $m^2$

The area of the square field is 12100 sq m.
So, the side is 110 m.
4a = $2\pi r$
$⟹r=\frac{2a}{\pi }=\frac{2\times 7\times 110}{22}=70m$
Area of the circle $=\pi r^2=\frac{22\times 70\times 70}{7}=15400m^2$