Answer:
Step-by-step explanation:
We are given the circumference. The formula for circumference is
C = πd where d is the diameter and C is the circumference.
We are given C = 15π, so we have...
15π = πd
Solving for d gives us...
15 = d (divide by π on both sides)
The formula for area of a circle is
A = π(r²) where A is the area, and r is the radius
The radius is half of the diameter, so we divide 'd' by 2 to get the radius...
r = d/2 = 15/2 = 7.5
The area of the circle is...
A = π(7.5)²
A = 56.25π units²
