Question

a circle has a circumference of 452.16 units. what is the radius of the circle? use 3.14 for π and enter your answer as a decimal.

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

Step2: Substitute the given values into the formula.

We know that \( C = 452.16 \) units and \( \pi = 3.14 \). Substituting these values into the formula for \( r \), we get:
\( r=\frac{452.16}{2\times3.14} \)

Step3: Perform the calculations.

First, calculate the denominator: \( 2\times3.14 = 6.28 \).
Then, divide the numerator by the denominator: \( r=\frac{452.16}{6.28} = 72 \).

Answer:

72