Question

the diameter of a circle is 84 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 \(C\) of a circle is \(C=\pi d\), where \(d\) is the diameter.

Step2: Substitute the given diameter

Given \(d = 84\) miles. Substitute into the formula: \(C=\pi\times84\).

Step3: Calculate the value

Using \(\pi\approx3.14159265\), \(C = 84\times3.14159265=263.8937826\).

Step4: Round to the nearest hundredth

Rounding \(263.8937826\) to the nearest hundredth (two - decimal places). The third decimal digit is \(3\lt5\), so we keep the second decimal digit as it is.

Answer:

\(263.89\)