Question
Solve the following formula for the specified variable.
Upper Bequalspi m squared r nbsp for r
Question content area bottom
Part 1
requals
enter your response here (Type an exact answer, using pi as needed.)
Upper Bequalspi m squared r nbsp for r
Question content area bottom
Part 1
requals
enter your response here (Type an exact answer, using pi as needed.)
Answers
GPT-4o mini
To solve the formula for the specified variable \( r \), we start with the given inequality \( B \leq \pi m^2 r \). We want to isolate \( r \).
1. Start with the equation:
\[
B \leq \pi m^2 r
\]
2. To isolate \( r \), divide both sides by \( \pi m^2 \) (assuming \( \pi m^2 > 0 \)):
\[
\frac{B}{\pi m^2} \leq r
\]
3. Therefore, we can express \( r \) as:
\[
r \geq \frac{B}{\pi m^2}
\]
Thus, the solution for \( r \) is:
\[
r = \frac{B}{\pi m^2}
\]
This represents the exact answer using \(\pi\).
1. Start with the equation:
\[
B \leq \pi m^2 r
\]
2. To isolate \( r \), divide both sides by \( \pi m^2 \) (assuming \( \pi m^2 > 0 \)):
\[
\frac{B}{\pi m^2} \leq r
\]
3. Therefore, we can express \( r \) as:
\[
r \geq \frac{B}{\pi m^2}
\]
Thus, the solution for \( r \) is:
\[
r = \frac{B}{\pi m^2}
\]
This represents the exact answer using \(\pi\).