I understand the mathematical definition of Pi, but why does it end up being used in so many formulas and applications in math, engineering, physics, etc? What does it unlock?
Edit: I understand Pi is the ratio of circumference to diameter. But why is that fact make it important and useful. For example it shows up in the equation for standard normal distribution. What does Pi have to do with a normal distribution. That’s just one example.
In: 3
Pi isn’t important because of its definition (the ratio of a circle’s circumference to its diameter).
Pi is important because how much it pops up and how often it’s useful.
It’s irrational, infinite, statistically random, apparently normal, transcendent and more.
As it is related to a circle, it is found in MANY geometry, trigonometry formulae and higher-dimensional analysis.
Basically, it’s so important because of so many equations and theories cannot be solved without it.
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