I swear- I think I may shoe bomb my own atrium if I see another load of edited gifs describing the dramatic bravery of some fictional movie character of today’s popular fandoms. Seriously.
Pi is the constant geometric ratio of a circle’s circumference to its diameter, meaning that as a circle enlarges or contracts, its circumference will always be approximately 3.14 times larger than its diameter.
This is why it is used in equations for finding all other geometric elements of a circle: area, circumference, chords, radius, and so on. Given the constant ratio of circumference to diameter, the desired element to be found must adhere to the ratio.
Pi was not discovered mathematically, but rather observationally, by multiple ancient cultures at different time periods. Its original discovery can be traced back to the first civilizations to begin agriculture, notably the ancient Egyptians and Babylonians.
As pi is an infinite series of decimals, there is no exact fraction signifying how many times a circle’s diameter must be repeated to recreate the length of its circumference. This begs the question of a finite limit for pi, where the diameter should logically be able to be multiplied enough times (decimal or not) to equate to the length of its circle’s circumference. However, ironically though the limit may approach a finite value, Pi, defined as an irrational and thus infinitely small number, becomes the ratio allowing the diameter to reach infinitely close to equivalence with its circle’s circumference, but never exactly.
Pi can be proven to exist only as a limit ratio by many discovered equations (http://mathworld.wolfram.com/PiFormulas.html?affilliate=1), but can never reach a solid value allowing the ratio to exist tangibly.
In essence, there are logical lengths to exist that we cannot logically create.