Question

the circumference of a circle is 37.68 feet. what is the circles radius?
c = 37.68 ft
round your answer to the nearest hundredth.
______ feet

Explanation:

Step1: Recall the formula for the circumference of a circle.

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \) is approximately \( 3.14 \).

Step2: Solve the formula for \( r \).

We can rearrange the formula to solve for \( r \): \( r=\frac{C}{2\pi} \).

Step3: Substitute the given circumference into the formula.

We know that \( C = 37.68 \) feet and \( \pi\approx3.14 \). Substituting these values into the formula for \( r \), we get:
\( r=\frac{37.68}{2\times3.14} \)

Step4: Perform the calculations.

First, calculate the denominator: \( 2\times3.14 = 6.28 \).
Then, divide the numerator by the denominator: \( r=\frac{37.68}{6.28}=6 \).

Answer:

\( 6.00 \)