xkcd: Coordinate Precision but pi (π)?

I tried looking for some answer but found mostly

  • People reciting pi
  • People teaching how to memorize pi
  • How to calculate pi using different formula
  • How many digits NASA uses

Update question to be more specific

In case someone see this later, what is the most advanced object you can build or perform its task, with different length of pi?

0, 3 => you can’t make a full circle

1, 3.1 => very wobbly circle

2, 3.14 => perfect hole on a beach

3, 3.142 => ??

4, 3.1416 => ??

5, 3.14159 => ??

Old question below

In practice, the majority of people will never require any extra digit past 3.14. Some engineering may go to 3.1416. And unless you are doing space stuff 3.14159 is probably more than sufficient.

But at which point do a situation require extra digit?
From 3 to 3.1 to 3.14 and so on.

My non-existing rubber duck told me I can just plug these into a graphing calculator. facepalm

y=(2πx−(2·3.14x))

y=abs(2πx−(2·3.142x))

y=abs(2πx−(2·3.1416x))

y=(2πx−(2·3.14159x))

Got adequate answer from @dual_sport_dork and @howrar
Any extra example of big object and its minimum pi approximation still welcome.

  • Pistcow@lemm.ee
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    1 year ago

    Never, the highest needed ever in any situation concerning the entirety of humanity is 15.

    You’re the type of person that needs to be told /s for a comment dripping in sarcasm to understand its sarcasm, right?

    Or the type of person that posts in movie communities about narrative foreshadowing as being an Easter egg, right?

    A+B=C

    If 15 digits is the highest number of used by the one agency responsible for all things concerning the highest need of detail than no, there is never an instance of needing to use all the known digits of Pi.

    • relevants@feddit.de
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      1 year ago

      That isn’t what they asked! They asked about when it is tolerable to use fewer digits and at what point the loss of precision becomes a concern again. Your responses have nothing to do with that question.