Question

the circumference of a circle can be found using the formula $c = 2\pi r$. which is an equivalent equation solved for $r$? \\(\bigcirc\\) $r = c\pi$ \\(\bigcirc\\) $r = c(2\pi)$ \\(\bigcirc\\) $r = \frac{c}{2\pi}$ \\(\bigcirc\\) $r = \frac{2\pi}{c}$

Explanation:

Step1: Start with the formula \( C = 2\pi r \)

We need to solve for \( r \), so we want to isolate \( r \) on one side of the equation.

Step2: Divide both sides by \( 2\pi \)

To isolate \( r \), we divide both sides of the equation \( C = 2\pi r \) by \( 2\pi \). This gives us \( \frac{C}{2\pi}=\frac{2\pi r}{2\pi} \).

Step3: Simplify the right - hand side

Since \( \frac{2\pi r}{2\pi}=r \) (the \( 2\pi \) terms cancel out), we are left with \( r = \frac{C}{2\pi} \).

Answer:

\( r=\frac{C}{2\pi} \) (the option corresponding to this formula)