Question

Find the perimeter of a circle plot which occupies an area of $154c{m}^2$

• A. $54m$
• B. $44m$
• C. $22m$
• D. $11m$

Answer 1

Answer: (B)

$44m$

We know that

Area of circle $=\pi r^2$

$\pi r^2=154c{m}^2$

$\Rightarrow \frac{22}{7}\times r^2=154$

$\Rightarrow r^2=\frac{154\times 7}{22}$

$\Rightarrow r^2=49$

$\therefore r=7cm$

Now,

Perimeter of circle $=2\pi r$

$=2\times \frac{22}{7}\times 7$

$=44cm$

Hence, $\left(B\right)$ is the correct answer.