Question

the circumference of a circle is 244.92 feet. what is the circles radius?
round your answer to the nearest hundredth.
feet

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. We need to solve for \( r \).

Step2: Rearrange the formula to solve for \( r \)

From \( C = 2\pi r \), we can isolate \( r \) by dividing both sides by \( 2\pi \). So \( r=\frac{C}{2\pi} \).

Step3: Substitute the given value of \( C \)

Given \( C = 244.92 \) feet and taking \( \pi\approx3.14 \), we substitute into the formula: \( r=\frac{244.92}{2\times3.14} \).
First, calculate \( 2\times3.14 = 6.28 \). Then \( r=\frac{244.92}{6.28} \).

Step4: Perform the division

\( 244.92\div6.28 = 39.00 \)

Answer:

\( 39.00 \)