Question

a circle has a circumference of 153.86 units. what is the radius of the circle? use 3.14 for π and enter your answer as a decimal. units

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 a constant. We know \( C = 153.86 \) and \( \pi = 3.14 \), and we need to solve for \( r \).

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

From \( C = 2\pi r \), we can rearrange it to \( r=\frac{C}{2\pi} \).

Step3: Substitute the known values into the formula

Substitute \( C = 153.86 \) and \( \pi = 3.14 \) into the formula: \( r=\frac{153.86}{2\times3.14} \).
First, calculate the denominator: \( 2\times3.14 = 6.28 \).
Then, divide the numerator by the denominator: \( r=\frac{153.86}{6.28}=24.5 \).

Answer:

24.5