Why does pi go on indefinitely, because a circle has an infinite number of corners? How do you show that (to any extent) ? How come we only know about 6.4 billion of the digitWhy does pi go on indefinitely, because a circle has an infis that it goes up to?

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Mathematics

Dereon Wood

23 March, 09:44

Why does pi go on indefinitely, because a circle has an infinite number of corners? How do you show that (to any extent) ? How come we only know about 6.4 billion of the digitWhy does pi go on indefinitely, because a circle has an infis that it goes up to?

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Twinkie · Answer 1

Pi having an infinite number of digits is not really related to the number of 'corners' of a circle. The diagonal of a square of side 1, which is square root of 2, is the same.

Asking 'Why' Pi is infinite and expecting an answer that's not a mathematical proof doesn't make much sense.

Most proofs that pi has an infinite number of digits are way too complex to be explained just here. If you have a more specific question about that, feel free to ask me in the comments.

We 'only' know a finite number of decimals of pi because we don't have any fast method to compute a given decimal of pi.