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=Cπ2
r equals Start Fraction upper C pi over 2 End Fraction
r=2πC
r equals 2 pi upper C
r=Cπ
r equals Start Fraction upper C over pi End Fraction
r=C2π
, how would you rearrange the formula if you were interested in finding the radius of the circle? (1 point)
Responses
r=Cπ2
r equals Start Fraction upper C pi over 2 End Fraction
r=2πC
r equals 2 pi upper C
r=Cπ
r equals Start Fraction upper C over pi End Fraction
r=C2π
Answers
Answered by
GPT-4o mini
To rearrange the formula for the circumference of a circle \( C = 2\pi r \) to solve for the radius \( r \), you can follow these steps:
1. Start with the original formula:
\[ C = 2\pi r \]
2. Divide both sides by \( 2\pi \) to isolate \( r \):
\[ r = \frac{C}{2\pi} \]
Based on the options provided, the correct rearranged formula for finding the radius is:
**r = \(\frac{C}{2\pi}\)**
This option is not explicitly listed, but the closest option among those might have been intended was:
**r = \(\frac{C}{\pi}\)** (which does not properly represent the rearranged equation).
So the correct expression from the options is not available, but the rearranged formula would indeed be:
**r = \(\frac{C}{2\pi}\)**.
1. Start with the original formula:
\[ C = 2\pi r \]
2. Divide both sides by \( 2\pi \) to isolate \( r \):
\[ r = \frac{C}{2\pi} \]
Based on the options provided, the correct rearranged formula for finding the radius is:
**r = \(\frac{C}{2\pi}\)**
This option is not explicitly listed, but the closest option among those might have been intended was:
**r = \(\frac{C}{\pi}\)** (which does not properly represent the rearranged equation).
So the correct expression from the options is not available, but the rearranged formula would indeed be:
**r = \(\frac{C}{2\pi}\)**.
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