Respuesta :

To solve for the radius(r), you need to isolate/get the radius by itself in the equation:

[tex]A=\frac{1}{2} \pi r^2[/tex]   Multiply the inverse of 1/2, which is 2/1 or 2 on both sides

[tex](2)A=(2)\frac{1}{2} \pi r^2[/tex]

2A = πr²     Divide π on both sides

[tex]\frac{2A}{\pi } =\frac{\pi r^2}{\pi }[/tex]

[tex]\frac{2A}{\pi } =r^2[/tex]     Now square root √ both sides to get "r" by itself

[tex]\sqrt{\frac{2A}{\pi } } =\sqrt{r^2}[/tex]

[tex]\sqrt{\frac{2A}{\pi } } =r[/tex]     Your answer is A

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