Like, it’s just a number why is it SO specific? Other than circles I can’t think of a use that pie has. Why would we create something that only has one use (that I know of) that is almost always simplified?
In: 0
Well pi itself inherently has something to do with a circle. But circles show up all the time.
Circular motion is quite common and more intricate periodic motions or in general a periodic function can be chopped up into functions that would describe circular motion for example.
Or any system that has some circular or spherical symmetry. Those are common.
In cases like these pi will show up. Take sin and cos for example. They are derived from circles originally. And later on you can figure out how they can be derived from the exponential function. The exp function is something that tends to show up everywhere because of its special properties.
exp is more or less everywhere and circle things are part of exp and when we are talking circles pi shows up.
So yes pi is technically the circle constant but you are underestimating how fundamental circles are, or better yet how special the exponential function is.
Latest Answers