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

To find 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, since the diameter is given as 20 feet, you need to calculate the radius. The radius is half the diameter, so:

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

Next, you can substitute the radius into the area formula:

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

This simplifies to:

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

Using the approximation of ( \pi ) as 3.14, the area can be calculated as:

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

Thus, the area of the circular area with a 20-foot diameter is 314 square feet. This is why the correct answer is indeed 314, as it accurately reflects the calculation based on