Question

Rearranging Formulas Quick Check
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Question
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=2πC
r equals 2 pi upper C

r=Cπ2
r equals Start Fraction upper C pi over 2 End Fraction

r=C2π
r equals Start Fraction upper C over 2 pi End Fraction

r=Cπ

Answer 1

To rearrange the formula for the circumference of a circle \( C = 2\pi r \) to solve for the radius \( r \), you need to isolate \( r \).

Here are the steps:

1. Start with the original formula: \( C = 2\pi r \).
2. Divide both sides by \( 2\pi \):
\[
r = \frac{C}{2\pi}
\]

Therefore, the correct rearrangement to find the radius \( r \) is:

**r = C / (2π)**

This response matches your provided options as:

**r = C / 2π**

So, the correct choice is:
**r = C2π** (which means \( r = \frac{C}{2\pi} \)).