Question

the circumference of a circle is 18.84 inches. what is the circles radius? round your answer to the nearest hundredth. inches

Explanation:

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 \(r\)

Given \(C = 18.84\) inches and \(\pi\approx3.14\).
From \(C = 2\pi r\), we can express \(r=\frac{C}{2\pi}\).
Substitute \(C = 18.84\) and \(\pi = 3.14\) into the formula:
\(r=\frac{18.84}{2\times3.14}\)
First, calculate \(2\times3.14 = 6.28\).
Then, \(r=\frac{18.84}{6.28}=3.00\)

Answer:

\(3.00\)