Question

the circumference of a circle is 54.008 yards. what is the circles diameter? round your answer to the nearest hundredth. yards

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C=\pi d\), where \(C\) is the circumference and \(d\) is the diameter.

Step2: Solve for \(d\)

We know \(C = 54.008\) yards. Rearranging the formula \(d=\frac{C}{\pi}\). Substituting \(C = 54.008\) and taking \(\pi\approx3.14\), we have \(d=\frac{54.008}{3.14}\).

Step3: Calculate the value

\(\frac{54.008}{3.14}=17.2\)

Answer:

\(17.20\) yards