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rearranging formulas quick check given the formula for the circumferenc…

Question

rearranging formulas quick check
given the formula for the circumference of a circle, c = 2πr, how would you rearrange the formula if you were interested in finding the radius of the circle? (1 point)
○ r = c / (2π)
○ r = cπ / 2
○ r = 2πc
○ r = c / π

Explanation:

Step1: Isolate the radius r.

We start with $C = 2\pi r$. To solve for $r$, we divide both sides of the equation by $2\pi$.
$\frac{C}{2\pi}=\frac{2\pi r}{2\pi}$

Step2: Simplify the right - hand side.

On the right - hand side, $\frac{2\pi r}{2\pi}=r$. So $r=\frac{C}{2\pi}$.

Answer:

$r = \frac{C}{2\pi}$ (corresponding to the first option in the multiple - choice list you provided)