Question

Find the area of the quadrant of a circle whose circumference is $44cm$.

Answer 1

We have,

Circumfrance$=2\pi r=44$

$\pi r=\frac{44}{2}$

$r=\frac{22}{\pi }=\frac{22}{\frac{22}{7}}$

$r=7$

So, area of quadrant $=\frac{1}{4}\pi r^2$

$\Rightarrow \frac{1}{4}\times \frac{22}{7}\times 7\times 7$

$\Rightarrow \frac{77}{2}$

$\Rightarrow 38.5c{m}^2$

Hence, this is the answer.