Question

the radius of a circle is 8 feet. what is the circles area?
round your answer to the nearest hundredth.

square feet

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Explanation:

Step1: Write the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 8\) feet. Substitute \(r = 8\) into \(A=\pi r^{2}\), we get \(A=\pi\times(8)^{2}\).
First, calculate \((8)^{2}=64\). So \(A = 64\pi\).

Step3: Calculate the numerical value

Take \(\pi\approx3.14159265\). Then \(A=64\times3.14159265\).
\(64\times3.14159265 = 201.0619\)

Answer:

\(201.06\)