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.

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 approximately 3.14 (given in the problem). We need to solve for \( d \), so we can rearrange the formula to \( d=\frac{C}{\pi} \).

Step2: Substitute the given values into the formula.

We know that \( C = 113.04 \) units and \( \pi = 3.14 \). Substituting these values into the formula \( d=\frac{C}{\pi} \), we get \( d=\frac{113.04}{3.14} \).

Step3: Perform the division.

Calculating \( \frac{113.04}{3.14} \), we find that \( 113.04\div3.14 = 36 \).

Answer:

36