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) Responses r=C2π r equals Start Fraction upper C over 2 pi End Fraction r=Cπ2 r equals Start Fraction upper C pi over 2 End Fraction r=2πC r equals 2 pi upper C r=Cπ

1 answer

To find the radius \( r \) from the formula for the circumference of a circle \( C = 2\pi r \), you would rearrange the formula as follows:

  1. Start with the original formula: \[ C = 2\pi r \]

  2. Divide both sides by \( 2\pi \): \[ r = \frac{C}{2\pi} \]

So the correct rearranged formula for the radius \( r \) is: \[ r = \frac{C}{2\pi} \]

This matches the first response option you provided: \[ r = \frac{C}{2\pi} \]