Question

the diameter of a circle is 4 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 \(C=\pi d\), where \(d\) is the diameter.

Step2: Substitute the value of \(d\)

Given \(d = 4\) miles, substitute into the formula: \(C=\pi\times4\).

Step3: Calculate the value

Using \(\pi\approx3.14159\), \(C = 4\times3.14159=12.56636\).

Step4: Round to the nearest hundredth

Rounding \(12.56636\) to the nearest hundredth (two decimal places), we look at the third decimal digit. Since \(6\geq5\), we round up the second decimal digit. So \(12.56636\approx12.57\).

Answer:

\(12.57\)