Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the circumference of a circle is 12.56 millimeters. what is the circles…

Question

the circumference of a circle is 12.56 millimeters. what is the circles diameter? c = 12.56 mm round your answer to the nearest hundredth. blank millimeters submit next up

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 \( \pi \approx 3.14159 \).

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

We can rearrange the formula to solve for \( d \): \( d=\frac{C}{\pi} \).
Given \( C = 12.56 \) mm, substitute into the formula: \( d=\frac{12.56}{\pi} \).
Using \( \pi\approx3.14159 \), we calculate \( d=\frac{12.56}{3.14159}\approx4.00 \) (rounded to the nearest hundredth).

Answer:

4.00