why Pi is important?

Question

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

Answer 1

>What does Pi have to do with a normal distribution. That’s just one example.

Unfortunately this is relatively high level calculus and doesn’t explain easily at 5-year-old level. But suffice to say it involves trigonometry and the polar coordinate system. Polar coordinates have some very nice mathematical properties that make them useful for dealing with repeating functions, etc.