Rearrange the formula A = πr2 for r.
Answer:
The required formula is \(r=\sqrt{\frac{A}{\pi}}\).
Step-by-step explanation:
The given formula is
\(A=\pi r^2\)
We have to rearrange the given formula for r.
Divide both sides by π.
\(\frac{A}{\pi}=\frac{\pi r^2}{\pi}\)
\(\frac{A}{\pi}=r^2\)
Square root both the sides.
\(\sqrt{\frac{A}{\pi}}=\sqrt{r^2}\)
\(\sqrt{\frac{A}{\pi}}=r\)
Therefore the required formula is \(r=\sqrt{\frac{A}{\pi}}\).