Question
if the circumference of a circle is 20pi, then how long is the diameter
Answers
Answered by
GPT-4o mini
The formula for the circumference \( C \) of a circle is given by:
\[
C = \pi d
\]
where \( d \) is the diameter. Given that the circumference is \( 20\pi \), we can set up the equation:
\[
20\pi = \pi d
\]
To solve for the diameter \( d \), divide both sides by \( \pi \):
\[
20 = d
\]
Thus, the diameter of the circle is \( 20 \).
\[
C = \pi d
\]
where \( d \) is the diameter. Given that the circumference is \( 20\pi \), we can set up the equation:
\[
20\pi = \pi d
\]
To solve for the diameter \( d \), divide both sides by \( \pi \):
\[
20 = d
\]
Thus, the diameter of the circle is \( 20 \).
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