How do you find the diameter of a circle if they give you the area?

Area = pi * (radius^2)

Where (radius^2) is radius squared, or radius to the second power.

do some algebraic steps:

Area / pi = radius^2

radius^2 = Area / pi

square root (radius^2) = square root (Area / pi)

radius = (plus or minus) square root (Area / pi)

If you are not working with imaginary numbers then

radius = square root (Area / pi)