if c=12pi what is the area of the circle

Answer 1

The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.

Given that c = 12π, we know that c = 2πr, where c represents the circumference and r represents the radius.

We can solve for r by dividing both sides of the equation by 2π:
c/2π = r

Substituting c = 12π, we get:
12π/2π = r
6 = r

Now, we can substitute the value of r into the formula for the area of a circle:
A = π(6)^2
A = 36π

Therefore, the area of the circle is 36π square units.