Question

the radius of a circle is 9 miles. what is the circles circumference? round your answer to the nearest hundredth. miles

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\), where \(r\) is the radius.

Step2: Substitute the given radius

Given \(r = 9\) miles, substitute into the formula: \(C=2\pi\times9 = 18\pi\).

Step3: Calculate the value

Using \(\pi\approx3.14159\), \(C = 18\times3.14159= 56.54862\).

Step4: Round to the nearest hundredth

Rounding \(56.54862\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. Since \(8\gt5\), we round up. So \(56.54862\approx56.55\).

Answer:

\(56.55\)