Question

The circumference of a circle is 69.08 millimeters. What is the circle's diameter?
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
millimeters

Answer 1

To find the diameter of a circle when you know the circumference, you can use the formula for circumference:

\[
C = \pi \times d
\]

where \(C\) is the circumference and \(d\) is the diameter.

Given that the circumference \(C\) is 69.08 millimeters, and using \(\pi \approx 3.14\), we can rearrange the formula to solve for the diameter:

\[
d = \frac{C}{\pi}
\]

Substituting the values we have:

\[
d = \frac{69.08}{3.14}
\]

Now, performing the calculation:

\[
d \approx \frac{69.08}{3.14} \approx 22.03
\]

So, the diameter of the circle is approximately **22.03 millimeters** when rounded to the nearest hundredth.