How are new PI digits discovered?
In: 5
π is irrational real number. it means that it can’t be written as a/b (please dont say π/1 is a ratio for π lol). so it goes infinitely, like √2.
new digits are not discovered, but calculated.
one way to calculate π is to use infinite sum formula
π/4=1-1/3+1/5-1/7+1/9…….
rearange it to get
π=4-4/3+4/5-4/7+4/9…….
if you keep adding and subtracting more 4/odd number you get more digits of π. you approach it. although it worths noting that approximating pi to 4 decimal places is pretty much enough for most of the people, meaning that π≈3.1415 will give reasonably accurate answer for almost all problems that you’ll see in textbooks.
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