Question

The perimeter of a square and circumference of circle are equal, the area of square is $121m^2$, then the area of circle is -

• A. $7\pi m^2$
• B. $14\pi m^2$
• C. $21\pi m^2$
• D. $49\pi m^2$

Answer 1

The correct option is D $49\pi m^2$

Given that,

Perimeter of square $=$ Perimeter of circle

$4a=2\pi r$

$r=\frac{4a}{2\pi }$

Given : $a^2=121$

$a=11$

$\therefore r=\frac{4\times 11}{2\times 22}\times 7$

$r=7m$

Area of circle $=\pi r^2=49\pi m^2$