A round clarifier has a diameter of 35 feet. What is its surface area?

To determine the surface area of a round clarifier, we use the formula for the area of a circle, which is calculated as ( A = \pi r^2 ), where ( r ) is the radius of the circle.

First, we need to find the radius of the clarifier. The diameter is given as 35 feet, so the radius would be half of that:

[ r = \frac{35 \text{ feet}}{2} = 17.5 \text{ feet} ]

Next, we substitute the radius into the area formula:

[ A = \pi (17.5)^2 ]

Calculating ( 17.5^2 ):

[ 17.5^2 = 306.25 ]

Now we multiply by ( \pi ):

[ A = \pi \times 306.25 ]

Using ( \pi \approx 3.14 ) for calculation purposes:

[ A \approx 3.14 \times 306.25 ]

[ A \approx 943.875 \text{ square feet} ]

However, for a more precise calculation using ( \pi ) as a constant (approximately 3.14159), we