Question

the radius of a circle is 39.9 meters. what is the circles area? round your answer to the nearest hundredth. square meters

Explanation:

Step1: Recall 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 \(r = 39.9\) meters. Then \(A=\pi\times(39.9)^{2}\). First, calculate \((39.9)^{2}=39.9\times39.9 = 1592.01\).

Step3: Multiply by \(\pi\)

Using \(\pi\approx3.14159\), we have \(A = 3.14159\times1592.01\).

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Answer:

\(5001.39\) square meters