Answer: 8 feet
Explanation:
1) The diameter and the area of a circle are related by this formula:
Area = π (radius)^2 = π (diameter / 2) ^2 = π (diameter)^2 / 4
2) Since you know the area you can find the formula for the diameter:
(diameter)^2 = 4 * area / π
=> diamter = √ [4*area / π]
3) Replace the value of the area
area = 16π (feet)^2
=> diameter = √ [ 4 * 16 π (feet)^2 / π ] = √ 64 feet = 8 feet
Answer: diameter = 8 feet
