Question

the circumference of a circle is 50.24 inches. what is the circles radius? round your answer to the nearest hundredth. inches submit

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 \(C = 50.24\) inches and taking \(\pi\approx3.14\).
From \(C = 2\pi r\), we can express \(r=\frac{C}{2\pi}\).
Substitute \(C = 50.24\) and \(\pi = 3.14\) into the formula:
\(r=\frac{50.24}{2\times3.14}\)
First, calculate \(2\times3.14 = 6.28\).
Then \(r=\frac{50.24}{6.28}\)
\(r = 8.00\)

Answer:

\(8.00\) inches