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

Let r be the radius of the circle. Then

Circumference of the circle

$C=2 \times \pi \times r$

$44 \mathrm{~cm}=2 \times \frac{22}{7} \times r$

$44 \mathrm{~cm}=\frac{44}{7} \times r$

$r=7 \mathrm{~cm}$

We know that the area of a circle of radius r is

$A=\pi r^{2}$

Substituting the value of r in above formula

$A=\pi \times 7 \times 7 \mathrm{~cm}^{2}$

$=\frac{22}{7} \times 49 \mathrm{~cm}^{2}$

$=154 \mathrm{~cm}^{2}$