i'm confused about pi.. why is it that...

a circle can have a finite length along its circumference, and a finite length that is its diameter, but the ratio between the two is infinitely specific without repeating?

i mean, 10/3 = 3.3333...  onto the infinite but at least it repeats. pi doesn't.

also, how is it that some people think that a circle is made of an infinite number of straight line segments? if you think of a square, the length from the center to one of the corners is longer than the length of a line from the center to the midpoint on the side. no matter how many sides you add, there's always going to be a difference between the length from the center to any given corner and from the center to the midpoint of any given segment. this would mean there would always be two slightly different lengths of of the radius instead of one.

what for why it does this? :3

Why is it you have no problem with the number line with its infinity of numbers, with any particular one having as many aperiodic digits as you please, YET you have trouble with π?  Between 0 and 1, there is an infinity of π-like (i.e. digitally aperiodic) numbers.

We have π as a relation between an arbitrary line (i.e. the diameter) and a curved line enclosing it (i.e. the circumference).  Why should a curve strike you as having a countable value?

We should use my pi based number system where pi = 1 and all the other numbers can just go fuck off

>>3
1 is not a number is a pi based system

you can use whatever symbols you want to represent numerals in a system, can you not?

yeah but the math guys here can't tell symbols from meaning

>>1

go ask someone else for the answers to your homework

Read about complex number theory.
Cool shit.
Taught me that all the teachers who said .999...=1 were just giant douches who failed at math in the same way that gym teachers were giant douches who fail at sports.

>>8
Hahahahahahahah

>>2
epic fail