If the circumference of a circle measures 12π cm, what is the area of the circle in terms of π? A) 6π cm2 B) 18π cm2 C) 24π cm2 D) 36π cm2

D) 36π cm²

Step-by-step explanation:

2 * π * r = 12π

r = 6

Area = π * r²

= π * 6²

= 36π cm²

So the formula for the circumference of a circle is π x diameter

Since we know the the circumference already, we just divide that by π:

12π / π = 12

Now we halve the diameter to get the radius:

12 / 2 = 6

The area of a circle is π x radius²

So the area is:

·π x 6² = 36π· (or 113 not in terms of π)