What is the area in square feet of a circular reservoir with a diameter of 411 ft?

To determine the area of a circular reservoir, you use the formula for the area of a circle, which is A = πr². In this formula, 'A' represents the area, 'π' is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.

First, you need to find the radius of the reservoir. The radius is half of the diameter. Given a diameter of 411 feet, the radius would be:

r = diameter / 2 = 411 ft / 2 = 205.5 ft.

Next, plug the radius into the area formula:

A = π(205.5 ft)².

Calculating this gives:

A = π * (42220.25 ft²) (since 205.5 squared is approximately 42220.25).

Now, multiply this by π (approximately 3.14):

A ≈ 3.14 * 42220.25 ft² ≈ 132,717.68 ft².

Rounding this value leads to 133,000 ft². Therefore, the calculation confirms that the area of the circular reservoir with a diameter of 411 ft is indeed approximately 133,000 square