Hi Hilmar,
In the universe there are no exact retationships. Although many think of the area of a circle in terms of a formaula a = p*(r^), I like to think of this in term of the diameter of the circle. So if the diameter of a circle were used to form a geographic square, the circle that would fit inside the geographic squire would have an area of (p * r2). Although this relation never changes regardless of the size of the circle/geographic square, it is not an exact relationship. In nature and the universe, you will not find either an exact straight line or and exact circle. Even a beam of light is bent by gravite as it travel through space. As simple and univeral as this relationship is, it seem like there would be a much less complex number to represent it.
I would prefer to see the relationship expressed as ((D^/4) * 3.1416)