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example 3: find the surface area of a clarifier with a 40 ft diameter.

Question

example 3: find the surface area of a clarifier with a 40 ft diameter.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 40\) ft, so \(r=\frac{d}{2}=\frac{40}{2}=20\) ft.

Step2: Use the formula for the area of a circle

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 20\) ft into the formula: \(A=\pi\times(20)^{2}\).

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Answer:

The surface area of the clarifier is \(1256\) square feet.