Question
The circumference of a circle is 75.36 kilometers. What is the circle's diameter?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the diameter of a circle when the circumference is known, you can use the formula for the circumference:
\[
C = \pi d
\]
where \(C\) is the circumference and \(d\) is the diameter. Rearranging this formula to solve for the diameter gives:
\[
d = \frac{C}{\pi}
\]
Now, using the given circumference of 75.36 kilometers:
\[
d = \frac{75.36}{\pi}
\]
Using an approximate value for \(\pi\) (3.14), we can calculate:
\[
d \approx \frac{75.36}{3.14} \approx 24.0 \text{ kilometers}
\]
More accurately using \( \pi \approx 3.14159\):
\[
d \approx \frac{75.36}{3.14159} \approx 24.0 \text{ kilometers}
\]
Thus, the diameter of the circle is approximately **24.0 kilometers**.
\[
C = \pi d
\]
where \(C\) is the circumference and \(d\) is the diameter. Rearranging this formula to solve for the diameter gives:
\[
d = \frac{C}{\pi}
\]
Now, using the given circumference of 75.36 kilometers:
\[
d = \frac{75.36}{\pi}
\]
Using an approximate value for \(\pi\) (3.14), we can calculate:
\[
d \approx \frac{75.36}{3.14} \approx 24.0 \text{ kilometers}
\]
More accurately using \( \pi \approx 3.14159\):
\[
d \approx \frac{75.36}{3.14159} \approx 24.0 \text{ kilometers}
\]
Thus, the diameter of the circle is approximately **24.0 kilometers**.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.