So what’s the deal with pi popping up everywhere in nature? In circular and spherical objects, in physics trig is used extensively (waves, the inverse square law), the list goes on… Is pi merely a numerical value created by humans to try and define the undefinable?
No… that’s -any- number. 
mathforum.org/library/drmath/view/55198.html
Pi is the fixed relation between two measures of any circle in flat Euclidean space. So it says something about the nature of space. Space is flat, or nearly flat.
Here’s what I’m getting at:
If you look at geometry, the only we cannot define is pi. The area of a square s^2 works perfectly, the relationship of two sides of a triangle to the hypotunuse a^2 + b^2 = c^2 works perfectly as well. But none of these objects appear naturally. The only shape that appears naturally is a circle. Is nature too powerful for math?
Note that pi has precisely as much digits after the comma as any other number.
There are no circles in nature. Not a single one.
The circle is a creation of our imagination just as all other geometric figures are. After that, sure, we can see things out there that are almost like circles.
The ratio that turns out to be the constant pi is a necessary result of our logical constructs in imagined flat space. In curved space, the ratio is not pi.
The sphere is the most compact possible space, so obviously Pi will come up. Practically every large solid, liquid or gaseous object in the universe is round after all.
it is an anomaly that ensures an energy divided by a circle can never be divided evenly. It allows infinate possiabilities according to variables preceeding geometrical shape. The shape of a circle allows the atmosphere to reflect all light in every possiable dirrection. it’s curve allows energy absorbtion to be dirrectly reflected by power vs dirrection to overcome the natural shape and strength of a circle.
Nature is perfect. Humans try to understand nature through mathematics. Mathemetics is nowhere near perfect.