Question

question
the diameter of a circle is 5 in. find its area to the nearest hundredth.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 5\) in, so \(r=\frac{d}{2}=\frac{5}{2}=2.5\) in.

Step2: Use the area formula

The area formula of a circle is \(A=\pi r^{2}\). Substitute \(r = 2.5\) into the formula: \(A=\pi\times(2.5)^{2}\).

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Rounding \(19.625\) to the nearest hundredth gives \(19.63\).

Answer:

\(19.63\) square inches.