Given problem;
A = 4 π R²
To solve for R, we have to make it the subject of the expression.
Since
A = 4 π R² , follow these steps to find R;
Multiply both sides by [tex]\frac{1}{4\pi }[/tex]
A x [tex]\frac{1}{4\pi }[/tex] = [tex]\frac{1}{4\pi }[/tex] x 4 π R²
[tex]\frac{A}{4\pi }[/tex] = R²
Then find the square root of both sides
√R² = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
R = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
The solution is [tex]\sqrt{\frac{A}{4\pi } }[/tex]