The origins of the formula for deriving the area of a square come from the work of the German mathematician, Yens Geldemacher, who finally discovered this geometrical mystery in 1939. Geldemacher combined the formula of the area of a circular disc with a formula created by master mathematician Ross Sacco, which Sacco had developed for use in deriving the area of isosceles, arched triangles. By inscribing a circle inside of a square, and summing the area of the square with the four arched triangles, he was able to closely approximate the area within a square to the nearest thousands place.