Question

the circumference of a circle is 314 meters. what is the circles diameter? round your answer to the nearest hundredth. meters

Explanation:

Step1: Write 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 \(d\)

Given \(C = 314\) meters, we can solve for \(d\) by rearranging the formula: \(d=\frac{C}{\pi}\).
Substitute \(C = 314\) into the formula: \(d=\frac{314}{\pi}\).
Using \(\pi\approx3.14159\), we have \(d=\frac{314}{3.14159}\approx99.95\).

Answer:

\(99.95\)