Question
The circumference of a circle is 6.28 millimeters. What is the circle's diameter? rounded to the nearest hundreth
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 6.28 millimeters, we can solve for the diameter \( d \):
\[
d = \frac{C}{\pi} = \frac{6.28}{\pi}
\]
Approximating \( \pi \) as 3.14, we can calculate:
\[
d \approx \frac{6.28}{3.14} \approx 2.0
\]
Now, using a more precise value for \( \pi \approx 3.14159 \):
\[
d \approx \frac{6.28}{3.14159} \approx 2.0
\]
Calculating this gives:
\[
d \approx 2.0
\]
Therefore, the diameter of the circle, rounded to the nearest hundredth, is:
\[
\boxed{2.00} \text{ millimeters}
\]
\[
C = \pi d
\]
Given that the circumference \( C \) is 6.28 millimeters, we can solve for the diameter \( d \):
\[
d = \frac{C}{\pi} = \frac{6.28}{\pi}
\]
Approximating \( \pi \) as 3.14, we can calculate:
\[
d \approx \frac{6.28}{3.14} \approx 2.0
\]
Now, using a more precise value for \( \pi \approx 3.14159 \):
\[
d \approx \frac{6.28}{3.14159} \approx 2.0
\]
Calculating this gives:
\[
d \approx 2.0
\]
Therefore, the diameter of the circle, rounded to the nearest hundredth, is:
\[
\boxed{2.00} \text{ millimeters}
\]