Question

the diameter of a circle is 73.8 kilometers. what is the circles area? round your answer to the nearest hundredth. square kilometers

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 73.8\) km, so \(r=\frac{d}{2}=\frac{73.8}{2}=36.9\) km.

Step2: Use the area formula

The area formula of a circle is \(A=\pi r^{2}\). Substitute \(r = 36.9\) into the formula: \(A=\pi\times(36.9)^{2}\).
First, calculate \((36.9)^{2}=36.9\times36.9 = 1361.61\). Then \(A=\pi\times1361.61\).
Taking \(\pi\approx3.14159\), we have \(A\approx3.14159\times1361.61\).
\(A\approx3.14159\times1361.61 = 4277.19\) (rounded to the nearest hundredth).

Answer:

\(4277.19\)