# If the circumference of a circle is 12pi, what is the area?

*print*Print*list*Cite

### 2 Answers

The circumference of a triangle is given by 2*pi*r where r is the radius and the area is pi*r^2.

Here circumference = 12*pi = 2*pi*r

=> r = 6

The area = pi*r^2 = 36*pi

**The area of the circle is 36*pi**

Given the area of a circle is 12pi.

Then we will calculate the radius using the circumference formula.

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

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

Now we will calculate the area of the circle.

==> We know that A= r^2 * pi

==> A = 6^2 * pi = 36 pi = 113.1 ( approx)

**Then the area of the circle whose circumference 12pi = 36pi = 113.1 square units.**