Demonstration that PI is rational

[Z10]

Hello everyone,

The length of a segment or an arc has a finite dimension so it can be repersonated by an integer because the length is finite.

If not if I take a son to measure the length with an irrational number the son will not have a limit so our son is an integer or a dicimal.

So if I am in a circle L = R × pi so PI = L / R where L is a half segment of a circle and R is the segment of the Ray that I can represent them by an integer or a dicimal.

We will have pi = an integer / an integer so pi is a rational.

Is there an error in this demonstration?

[Guest]

FYI: There are several proofs which show pi is irrational. Please refer to link below for details.

[url]https://en.m.wikipedia.org/wiki/Proof_that_π_is_irrational[/url]

[Guest]

Hello everyone,

The length of a segment or an arc has a finite dimension so it can be repersonated by an integer because the length is finite.

No, not every finite number is an integer!

If not if I take a son to measure the length with an irrational number the son will not have a limit so our son is an integer or a decimal.

I don't know what you mean by "son" here. In English a person's "son" is a person's male child!
Nor do I understand by "not have a limit". But, yes, any number is either an integer or a non-integer decimal.

So if I am in a circle L = R × pi so PI = L / R where L is a half segment of a circle and R is the segment of the Ray that I can represent them by an integer or a dicimal.

We will have pi = an integer / an integer so pi is a rational.

What? You just said "integer or decimal" so when you say "an integer/ an integer" what happened to the decimal possibility?

Is there an error in this demonstration?[/quote]

[Guest]

I am rational, but pi is not... Okay?

[Guest]

I am rational, but pi is not... Okay?

Lol! Okay, let's get back to work. Please consider the following interesting story about how irrational numbers like pi can be approximated quite accurately by rational numbers:

'New Proof Settles How to Approximate Numbers Like Pi',

https://www.quantamagazine.org/new-proof-settles-how-to-approximate-numbers-like-pi-20190814/.

[Guest]

I am rational, but pi is not... Okay?

Everyone is crazy except thee and me. And I'm not so sure about thee!