Why does Pi show up in so many diverse equations if it’s only related to a circle?

Question

Is Pi more than just a ratio for circles? Is there a easy way to understand the universality of Pi?

In: 1018

Answer 1

Because we conceptualise things by watering them down so that they’re more malleable and universal, but not so far that they’re unrepresentative of how reality works.

While there is no ‘curve’ or ‘circle’ in reality, them just being concepts we made, it’s useful to use pi because it’s a useful tool that works within the models we invented.

There’s a lot of things in the world that conform to certain rules, and we called those ‘circular’ and invented tools to deal with ‘circular’ things.