Question

the circumference of a circle is 37.68 feet. what is the circles radius? round your answer to the nearest hundredth. feet submit

Explanation:

Step1: Recall the circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius. We know \( C = 37.68 \) feet and we need to solve for \( r \).

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

From \( C = 2\pi r \), we can divide both sides by \( 2\pi \) to get \( r=\frac{C}{2\pi} \).

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

Substitute \( C = 37.68 \) into the formula: \( r=\frac{37.68}{2\pi} \). Using \( \pi\approx3.14 \), we have \( r = \frac{37.68}{2\times3.14} \).

Step4: Calculate the value

First, calculate the denominator: \( 2\times3.14 = 6.28 \). Then, divide \( 37.68 \) by \( 6.28 \): \( \frac{37.68}{6.28}=6 \). Wait, but if we use a more precise value of \( \pi \), say \( \pi\approx3.1416 \), then \( r=\frac{37.68}{2\times3.1416}=\frac{37.68}{6.2832}\approx6.00 \) (when rounded to the nearest hundredth).

Answer:

\( 6.00 \)