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.
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It’s not that pi in of itself is important. We didn’t just make it up. It’s that while solving a bunch of problems, you just happen to end up with pi. Especially in Calculus, you end up deriving pi all the time, anytime you’re working with circles or anything round, really.
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