Question

the diameter of a circle is 86 yards. what is the circles circumference? round your answer to the nearest hundredth. yards submit

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 \(d = 86\) yards. Substitute into the formula: \(C=\pi\times86\).

Step3: Calculate the value

Using \(\pi\approx3.14159265\), \(C = 86\times3.14159265=270.1779679\).

Step4: Round to the nearest hundredth

Rounding \(270.1779679\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. Since \(7\gt5\), we round up. So \(270.1779679\approx270.18\).

Answer:

\(270.18\)