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Question
the diameter of a circle is 10 ft. find its area to the nearest whole number.
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 \(A\approx3.14\times25 = 78.5\).
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\(79\) square feet