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the radius of a circle is 5 ft. find its area in terms of π.

Question

the radius of a circle is 5 ft. find its area in terms of π.

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 \(r = 5\) ft. Substitute \(r = 5\) into \(A=\pi r^{2}\), we get \(A=\pi\times(5)^{2}\).

Step3: Calculate the value of \(r^{2}\)

\((5)^{2}=5\times5 = 25\). So \(A = 25\pi\).

Answer:

\(25\pi\)