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question the diameter of a circle is 18 in. find its area to the neares…

Question

question
the diameter of a circle is 18 in. 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 \(d = 18\) in, so \(r=\frac{d}{2}=\frac{18}{2}=9\) in.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 9\) into the formula: \(A=\pi\times9^{2}=\pi\times81\). Using \(\pi\approx3.14\), then \(A\approx3.14\times81 = 254.34\).

Answer:

\(254\) in²