The circumference of a circle is 15 pie centimeters. What is the area of the circle in terms of pie?
We know that the formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. In this case, we are given that the circumference is 15π, so we can set up an equation:
15π = 2πr
Dividing both sides by 2π, we get:
r = 15/2
Now we can use the formula for the area of a circle, which is A = πr^2. Substituting in our value for r, we get:
A = π(15/2)^2
A = π(225/4)
A = 225π/4
A = 56.25π
Therefore, the area of the circle in terms of π is 56.25π.