How many square feet is the area of a circular zone with a diameter of 20 feet?

To determine the area of a circular zone with a diameter of 20 feet, it's essential to first calculate the radius, which is half of the diameter. In this case, the radius would be 10 feet (20 feet divided by 2).

The formula to calculate the area of a circle is given by:

Area = π × radius²

Substituting the radius into the formula:

Area = π × (10 feet)²

Area = π × 100 square feet

Using the approximate value of π (pi), which is about 3.14, you can calculate the area:

Area ≈ 3.14 × 100 square feet ≈ 314 square feet

Thus, the area of the circular zone with a diameter of 20 feet is approximately 314 square feet. This calculation confirms why this answer is correct, as it accurately applies the formula for the area of a circle using the provided diameter.