High School What would things look like if PI = 3.

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The discussion explores the hypothetical scenario of pi equaling 3 instead of its actual value of approximately 3.14. Participants express that the question lacks meaning without a proper mathematical context, comparing it to nonsensical statements like "1=2." One contributor mentions that in curved spaces, the ratio of circumference to diameter can vary, challenging the notion of pi as a constant. Ultimately, the conversation concludes with a consensus that the topic is not worth further exploration. The thread is subsequently closed.
phillovix
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Hey there!

I found myself being rather curious as to what a reality would look like where PI to equal 3, instead of 3.14...

Uploaded a picture, was wondering if anyone able to get their head around it is also able to draw or explain the key differences.

Thanks!
<3
 

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phillovix said:
I found myself being rather curious as to what a reality would look like where PI to equal 3, instead of 3.14...
Well, if the laws of math and physics did not apply, it's real hard to say WHAT things would look like, but basically, I think your question doesn't make any sense.
 
The question is meaningless. It is like asking what the world would look like if 1=2 or if white was black.
 
The question becomes meaningful if you consider pi as just the circumference/diameter ratio
 
silvanp2000 said:
The question becomes meaningful if you consider pi as just the circumference/diameter ratio
No it doesn't. In curved spaces, this ratio is generally dependent on the radius and position and not a constant. In the limit of small radii, the ratio becomes pi on all smooth Riemannian manifolds.
 
There is no point in discussing this.

Thread closed.
 
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