Respuesta :

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]