Question

the circumference of a circle is 226.08 centimeters. what is the circles radius? round your answer to the nearest hundredth. centimeters 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 \( \pi \approx 3.14 \). We need to solve for \( r \), so we can rearrange the formula to \( r=\frac{C}{2\pi} \).

Step2: Substitute the given circumference into the formula

We know that \( C = 226.08 \) centimeters and \( \pi\approx3.14 \). Substituting these values into the formula for \( r \), we get \( r=\frac{226.08}{2\times3.14} \).

Step3: Perform the calculation

First, calculate the denominator: \( 2\times3.14 = 6.28 \). Then, divide the numerator by the denominator: \( r=\frac{226.08}{6.28}=36.0 \). Since we need to round to the nearest hundredth, and \( 36.0 = 36.00 \) when rounded to the nearest hundredth.

Answer:

\( 36.00 \)