Question

the circumference of a circle can be found using the formula c = 2πr. which is an equivalent equation solved for r? options: r = cπ; r = (2π)/c; r = c(2π); r = c/(2π)

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 side

The \( 2\pi \) in the numerator and denominator on the right side cancels out, leaving us with \( r = \frac{C}{2\pi} \).

Answer:

\( r = \frac{C}{2\pi} \) (the last option: \( r = \frac{C}{2\pi} \))