> Perhaps you don't need an irrational Pi to compute everything up to maximum accuracy

"For JPL's highest accuracy calculations, which are for interplanetary navigation, we use 3.141592653589793. Let's look at this a little more closely to understand why we don't use more decimal places. I think we can even see that there are no physically realistic calculations scientists ever perform for which it is necessary to include nearly as many decimal points as you present."

https://www.jpl.nasa.gov/edu/news/2016/3/16/how-many-decimal...