Question

The equation r = (sqrt A)/(pi) gives the radius r of circle with area A. What is the radius of a circle with the given area? Write your answer as a simplified radical and as a decimal rounded to the nearest hundredth.

a. 50 ft^2

Answer 1

\(\bf r=\sqrt{\cfrac{{\color{red}{ Area}}}{\pi}}\qquad {\color{red}{ Area}}=50\ ft^2\implies r=\sqrt{\cfrac{{\color{red}{ 50}}}{\pi}}
\)

Answer 2

I think we can simplify that further.