For a circular area with a diameter of 20 feet, what is the area in square feet?

To determine the area of a circular area with a given diameter, you can use the formula for the area of a circle, which is ( A = \pi r^2 ), where ( r ) is the radius of the circle.

First, you need to find the radius. The radius is half the diameter. In this case, the diameter is 20 feet, so the radius will be:

[ r = \frac{diameter}{2} = \frac{20 \text{ feet}}{2} = 10 \text{ feet} ]

Next, substitute the radius into the area formula:

[ A = \pi (10 \text{ feet})^2 ]

Calculating the radius squared gives:

[ A = \pi (100 \text{ square feet}) = 100\pi \text{ square feet} ]

Using the approximate value of ( \pi ) as 3.14 for practical calculations:

[ A \approx 100 \times 3.14 = 314 \text{ square feet} ]

Thus, the area of the circular area with a diameter of 20 feet is approximately 314 square feet. This matches the choice indicating that