Question
If the circumference of a circle is 20π, then how long is the diameter?
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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 is \( 20\pi \), we can set up the equation:
\[
20\pi = \pi d
\]
To solve for the diameter \( d \), we can divide both sides of the equation by \( \pi \):
\[
20 = d
\]
Thus, the diameter of the circle is:
\[
\boxed{20}
\]
\[
C = \pi d
\]
Given that the circumference is \( 20\pi \), we can set up the equation:
\[
20\pi = \pi d
\]
To solve for the diameter \( d \), we can divide both sides of the equation by \( \pi \):
\[
20 = d
\]
Thus, the diameter of the circle is:
\[
\boxed{20}
\]