Question

the circumference of a circle is 12.56 miles. what is the circles radius?
c = 12.56 mi
round your answer to the nearest hundredth.
miles

Explanation:

Step1: Write 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 \(r\)

Given \(C = 12.56\) miles and taking \(\pi\approx3.14\).
From \(C = 2\pi r\), we can express \(r\) as \(r=\frac{C}{2\pi}\).
Substitute \(C = 12.56\) and \(\pi = 3.14\) into the formula:
\(r=\frac{12.56}{2\times3.14}\)
First, calculate \(2\times3.14 = 6.28\).
Then, \(r=\frac{12.56}{6.28}=2\)

Answer:

\(2\)