Question

the diameter of a circle is 62 centimeters. what is the circles area? round your answer to the nearest hundredth. square centimeters

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 62\) cm, so \(r=\frac{d}{2}=\frac{62}{2}=31\) cm.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 31\) into the formula: \(A=\pi\times(31)^{2}=\pi\times961\). Using \(\pi\approx3.14159\), we get \(A\approx3.14159\times961 = 3019.07899\).

Answer:

\(3019.08\) square centimeters