Question

a circle has a circumference of 113.04 units. what is the diameter 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 \( C=\pi d \), where \( d \) is the diameter and \( \pi \) is a constant. We know \( C = 113.04 \) and \( \pi=3.14 \), and we need to solve for \( d \).

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

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

Step3: Substitute the given values into the formula

Substitute \( C = 113.04 \) and \( \pi = 3.14 \) into the formula \( d=\frac{C}{\pi} \). So \( d=\frac{113.04}{3.14} \).

Step4: Perform the division

Calculate \( \frac{113.04}{3.14} \). \( 113.04\div3.14 = 36 \).

Answer:

36