Question

the radius of a circle is 3 yards. what is the circles circumference? round your answer to the nearest hundredth. yards

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 \(r = 3\) yards. Substitute into the formula: \(C=2\pi\times3\).

Step3: Calculate the value

\(C = 6\pi\). Using \(\pi\approx3.14159\), then \(C\approx6\times3.14159 = 18.84954\).

Step4: Round to the nearest hundredth

Rounding \(18.84954\) to the nearest hundredth (two - decimal places). The third decimal digit is \(9\), so we round up the second decimal digit. \(18.84954\approx18.85\).

Answer:

\(18.85\)