QUESTION IMAGE
Question
- determine the radius of a circle that has a circumference of 15.27 meters
Step1: Recall the formula for circumference
The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius.
Step2: Solve for \(r\)
We know \(C=15.27\) meters. Rearranging the formula \(C = 2\pi r\) for \(r\), we get \(r=\frac{C}{2\pi}\). Substituting \(C = 15.27\) and taking \(\pi\approx3.14\), we have \(r=\frac{15.27}{2\times3.14}\).
Step3: Calculate the value
First, calculate \(2\times3.14 = 6.28\). Then, \(r=\frac{15.27}{6.28}\approx2.43\) meters.
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The radius of the circle is approximately \(2.43\) meters.