Question

the radius of a circle is 6 feet. what is the circles circumference? round your answer to the nearest hundredth. feet submit

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 \(r = 6\) feet. Substitute into the formula: \(C=2\pi\times6\).

Step3: Calculate the value

\(C = 12\pi\). Using \(\pi\approx3.14159\), then \(C\approx12\times3.14159 = 37.69908\).

Step4: Round to the nearest hundredth

Rounding \(37.69908\) to the nearest hundredth (two decimal places), we look at the third decimal digit. Since \(9\gt5\), we round up. So \(37.69908\approx37.70\).

Answer:

\(37.70\)