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

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

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.

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