Alright, let's start by examining the given circumference formula for a circle:
[tex]\[ C = 2 \pi r \][/tex]
Our goal is to solve this equation for the radius [tex]\( r \)[/tex]. To do this, we need to isolate [tex]\( r \)[/tex] on one side of the equation. We'll go through the steps carefully.
1. Starting equation:
[tex]\[ C = 2 \pi r \][/tex]
2. Isolate [tex]\( r \)[/tex]:
To isolate [tex]\( r \)[/tex], we need to divide both sides of the equation by [tex]\( 2 \pi \)[/tex].
[tex]\[ r = \frac{C}{2 \pi} \][/tex]
Therefore, the equivalent equation solved for [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{C}{2 \pi} \][/tex]
Among the options provided, the correct one is:
[tex]\[ r = \frac{C}{2 \pi} \][/tex]
