A quick note that extends interest in population distributions beyond their usefulness to some:
It turns out that pi turns up in the probability density function associated with normal distributions: https://en.wikipedia.org/wiki/Normal_distribution
Many characteristics of biological populations are distributed in in log normal distributions (that is if you take the log you will get something that looks like a normal distribution but on a linear scale there will be a long tail) https://stat.ethz.ch/~stahel/lognormal/bioscience.pdf
“There are more things in heaven and earth, Horatio, Than are dreamt of in your philosophy.” Shakespeare. 
We need to value things we do not completely understand.