Question

If the area of a circle is $1386{\text{cm}}^2$, then its perimeter is

• A. $176\text{cm}$
• B. $132\text{cm}$
• C. $148\text{cm}$
• D. $144\text{cm}$

Answer 1

The correct option is B $132\text{cm}$

Let $r$ be the radius of circle.
Given: Area of circle $=1386{\text{cm}}^2$
$\Rightarrow \pi r^2=1386$
$\Rightarrow \frac{22}{7}\times r^2=1386$
$\Rightarrow r^2=441$
$\Rightarrow r=21\text{cm}$

$\therefore$ Perimeter of circle $=2\pi r$
$=2\times \frac{22}{7}\times 21$
$=132\text{cm}$
Hence, the correct answer is option b.