Find the area of a circle whose circumference is 8π.

Let the radius of the circle be r.
​Now,

Circumference $=8 \pi$

$\Rightarrow 2 \pi r=8 \pi$

$\Rightarrow r=4 \mathrm{~cm}$

Now, Area of circle $=\pi r^{2}=\pi \times 4^{2}=16 \pi \mathrm{cm}^{2}$

Hence, the area of the circle is 16π cm2.