What is the area of a circular area with a 20-foot diameter?

To find the area of a circular area, you can use the formula:

Area = π * r²,

where r is the radius of the circle. The radius is half of the diameter, so if the diameter is 20 feet, the radius would be 10 feet.

Now you can calculate the area using the radius:

Area = π * (10 feet)² Area = π * 100 square feet Area ≈ 3.14 * 100 square feet ≈ 314 square feet.

This calculation shows that the area of the circular region is approximately 314 square feet, which aligns with the correct answer. The use of π (approximately 3.14) is crucial in finding the area of the circle, demonstrating a fundamental geometric principle.

The other options provide incorrect area values based on different calculations or misunderstandings of the formula. For instance, using the full diameter rather than the radius squared would lead to incorrect area assumptions.