Question:
The circumference of a circle is 39.6 cm. Find its area.
Solution:
Circumference = 39.6 cm
We know:
Circumference of a circle $=2 \pi r$
$\Rightarrow 39.6=2 \times \frac{22}{7} \times r$
$\Rightarrow \frac{39.6 \times 7}{2 \times 22}=r$
$\Rightarrow r=6.3 \mathrm{~cm}$
Also,
Area of the circle $=\pi r^{2}$
$=\frac{22}{7} \times 6.3 \times 6.3$
$=124.74 \mathrm{~cm}^{2}$