Question

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

Answer 1

To find the quadrant of a circle we will have to first determine the circumference of the circle which is 2πr.

Here, the circumference being 44cm,

$2\pi r=44$ Dividing by 2 both lhs and rhs we have

\(\pi r=22

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

Now, Area of circle = $\pi r^2=\frac{22}{7}\times r^2$

$\to Areaofcircle=\frac{22}{7}\times 7\times 7$

The area of the quadrant of a circle whose circumference in $44cmis=154.06c{m}^2$