The formula for the circumference of a circle is given by C = 2πr, where C is the circumference and r is the radius. Since the circumference is given as 20π ft, we have:
20π = 2πr
Dividing both sides by 2π, we get:
10 = r
The formula for the area of a circle is given by A = πr^2, where A is the area and r is the radius. Substituting 10 for r, we have:
A = π(10)^2 = 100π ft^2
Therefore, the area is 100π square feet.
The circumference of a circle is 20π ft. What is the area, in square feet? Express your answer in terms of piπ.
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