A circular garden has a circumference of 30π feet. What is the area of the garden in square feet?
Correct: C
The formula for the circumference of a circle is C = 2πr, where r is the radius.
Given C = 30π feet, we can find the radius:
30π = 2πr
Divide both sides by 2π:
r = 30π / 2π
r = 15 feet
The formula for the area of a circle is A = πr^2.
Substitute r = 15 into the area formula:
A = π(15)^2
A = 225π square feet.