No, pi is not used to solve a square root problem.
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You use the formula A=(pi)r^2 solve for r which will give you the square root of A/pi. In your case the area has pi already in it so it is just 2 times the square root of 8.
Because if you approximate pi, you get pi = 3.1415926535897932384626433832795...Square root of 3.1415926535897932384626433832795... is 1.7724538509055160272981674833411...... which is the square root of pi.Hope that helps.
PI = 3.1416 SQUARE ROOT OF PI is about 1.772
If Sqaure root of Pi is the Diameter of Circle . Then the circumference is Pi X Dia . Which equals , Pi X Square root of Pi. Which is is approximately 5.56
A = pi * r^2 divide A by pi A/pi = r^2 take square root each side and discard the negative answer sqrt(A/pi) = r