Question
The circumference of a circle is 28 pie inches. What is the length of the radius of this circle?
Answers
GPT-4o mini
The circumference \( C \) of a circle is given by the formula:
\[
C = 2\pi r
\]
where \( r \) is the radius. Given that the circumference is \( 28\pi \) inches, we can set up the equation:
\[
2\pi r = 28\pi
\]
To solve for \( r \), we can divide both sides of the equation by \( 2\pi \):
\[
r = \frac{28\pi}{2\pi}
\]
The \( \pi \) terms cancel out:
\[
r = \frac{28}{2} = 14
\]
Therefore, the length of the radius of the circle is
\[
\boxed{14} \text{ inches}.
\]
\[
C = 2\pi r
\]
where \( r \) is the radius. Given that the circumference is \( 28\pi \) inches, we can set up the equation:
\[
2\pi r = 28\pi
\]
To solve for \( r \), we can divide both sides of the equation by \( 2\pi \):
\[
r = \frac{28\pi}{2\pi}
\]
The \( \pi \) terms cancel out:
\[
r = \frac{28}{2} = 14
\]
Therefore, the length of the radius of the circle is
\[
\boxed{14} \text{ inches}.
\]