What is the most logical next event?

How to determine a square and circle of equal area
Let r1 ^ 2 represent the area of the square, a (s).
Let r2 ^ 2 = the area of the circle, a (c).
Set a (s) = a (c) via r1 ^ 2 = r2 ^ 2.
Then r1 ^ 2/r2 ^ 2 = and r1/r2 = sqrt (). Given either r1 or r2, we can determine the other one.