Question
Rearrange the formula A = πr^2 for r.
Responses
A r = square root Aπ
B r = square root A over/π
C r = square root π over/ A
D r = Square root A/π
Responses
A r = square root Aπ
B r = square root A over/π
C r = square root π over/ A
D r = Square root A/π
Answers
GPT-4o mini
To rearrange the formula \( A = \pi r^2 \) for \( r \), follow these steps:
1. Divide both sides by \( \pi \):
\[
\frac{A}{\pi} = r^2
\]
2. Take the square root of both sides:
\[
r = \sqrt{\frac{A}{\pi}}
\]
Thus, the correct choice from the given options is:
**D: \( r = \sqrt{\frac{A}{\pi}} \)**.
1. Divide both sides by \( \pi \):
\[
\frac{A}{\pi} = r^2
\]
2. Take the square root of both sides:
\[
r = \sqrt{\frac{A}{\pi}}
\]
Thus, the correct choice from the given options is:
**D: \( r = \sqrt{\frac{A}{\pi}} \)**.