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