To solve for [tex]\( r \)[/tex] in the equation [tex]\( C = 2 \pi r \)[/tex], follow these steps:
1. Start with the original equation for the circumference of a circle:
[tex]\[
C = 2 \pi r
\][/tex]
2. To isolate [tex]\( r \)[/tex], you need to divide both sides of the equation by [tex]\( 2 \pi \)[/tex]. This will give you:
[tex]\[
\frac{C}{2 \pi} = r
\][/tex]
3. Rearrange the equation to have [tex]\( r \)[/tex] on the left side:
[tex]\[
r = \frac{C}{2 \pi}
\][/tex]
So, the equivalent equation solved for [tex]\( r \)[/tex] is:
[tex]\[
r = \frac{C}{2 \pi}
\][/tex]
Therefore, the correct choice is:
[tex]\[
r = \frac{C}{2 \pi}
\][/tex]
