Respuesta :
Answer:
The solution for the required variable is [tex]r=\sqrt{\frac{A}{4\pi}}[/tex]
Step-by-step explanation:
Consider the provided formula.
[tex]A=4\pi r^2[/tex]
We need to solve the formula for r.
Divide both sides by 4π.
[tex]\frac{A}{4\pi}=\frac{4\pi r^2}{4\pi}[/tex]
[tex]r^2=\frac{A}{4\pi}[/tex]
[tex]r=\sqrt{\frac{A}{4\pi}}[/tex]
We will not take the negative value as r can not be a negative number.
Hence, the solution for the required variable is [tex]r=\sqrt{\frac{A}{4\pi}}[/tex]
