Question

the circumference of a circle is 69.08 feet. what is the circles radius?
c = 69.08 ft
round your answer to the nearest hundredth.
feet
submit

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 value of \( C \)

We know that \( C = 69.08 \) feet and \( \pi \approx 3.14 \). Substituting these values into the formula, we get:
\( r=\frac{69.08}{2\times3.14} \)

Step4: Perform the calculation

First, calculate the denominator: \( 2\times3.14 = 6.28 \)
Then, divide the numerator by the denominator: \( r=\frac{69.08}{6.28}=11 \)

Answer:

11