Question

the circumference of a circle is 182.12 millimeters. what is the circles diameter? c = 182.12 mm round your answer to the nearest hundredth. millimeters

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 \( \pi \approx 3.1416 \).

Step2: Solve for the diameter \( d \).

We can rearrange the formula to solve for \( d \): \( d=\frac{C}{\pi} \).
Given \( C = 182.12 \) mm, substitute the value into the formula:
\( d=\frac{182.12}{\pi} \)
Using \( \pi \approx 3.1416 \), we calculate:
\( d=\frac{182.12}{3.1416}\approx57.97 \) (rounded to the nearest hundredth)

Answer:

57.97