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the diameter of a circle is 10 ft. find its area to the nearest whole n…

Question

the diameter of a circle is 10 ft. find its area to the nearest whole number.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 10\) ft, so \(r=\frac{d}{2}=\frac{10}{2}=5\) ft.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 5\) into the formula: \(A=\pi\times(5)^{2}=\pi\times25\). Using \(\pi\approx3.14\), we get \(A\approx3.14\times25 = 78.5\).

Answer:

\(79\) square feet