Question

the circumference of a circle is 37.68 inches. what is the circles diameter? round your answer to the nearest hundredth. inches submit

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 \( \pi\approx3.14 \).

Step2: Solve for the diameter \( d \)

We know that \( C = 37.68 \) inches and we want to find \( d \). From the formula \( C=\pi d \), we can solve for \( d \) by rearranging the formula: \( d=\frac{C}{\pi} \).

Substitute \( C = 37.68 \) and \( \pi\approx3.14 \) into the formula: \( d=\frac{37.68}{3.14} \).

Calculate the division: \( \frac{37.68}{3.14}=12 \).

Answer:

12.00 (since we need to round to the nearest hundredth, and 12 is an integer, we can write it as 12.00)