Question
The circumference of a circle is 31.4 millimeters. What is the circle's diameter?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
millimeters
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
millimeters
Answers
GPT-4o mini
The circumference \( C \) of a circle is related to its diameter \( d \) by the formula:
\[
C = \pi d
\]
Given that the circumference \( C \) is 31.4 millimeters and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Substituting in the values:
\[
d = \frac{31.4}{3.14}
\]
Calculating this gives:
\[
d \approx 10
\]
Rounding to the nearest hundredth, the diameter of the circle is:
\[
\boxed{10.00} \text{ millimeters}
\]
\[
C = \pi d
\]
Given that the circumference \( C \) is 31.4 millimeters and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Substituting in the values:
\[
d = \frac{31.4}{3.14}
\]
Calculating this gives:
\[
d \approx 10
\]
Rounding to the nearest hundredth, the diameter of the circle is:
\[
\boxed{10.00} \text{ millimeters}
\]