What is the area of the circle whose circumference is 12pi in terms of pi?

Given the circumference of the circle is
12pi.

We need to find the area of the
circle.

We know that the area of a circle is given
by:

A = r^2 * pi such that r is the
radius.

Also, we know that the circumference is given
by:

C = 2*r * pi

But C =
12*pi

==> 2*r*pi =
12*pi

We will divide by
2pi.

==> r = 12pi/2pi =
6.

Then the radius is r= 6, we will substitute into
A.

==> A  = r^2 * pi = 6^2 * pi =
36pi.

Then the area of the circle in terms of
pi is : A = 36pi square units.