Kind of curious how you got that value. I think the ratio of circumference to diameter (“pi”) is actually smaller in spherical geometry, in the most extreme case (the equator) it’s just 1. You could say “pi = 5” for circles of a specific radius in hyperbolic geometry, I guess.
my mistake was using the sum of angles in a triangle which was kinda dum but whatever . I also tried calculating via the circumstance of a circle placed at a pole where π was 20x smaller for the case I was using but its not linear so I looked deeper which was a big mistake .
BTW the ratio of circumstance to radius for a circle which is also an equator of the space is ¼ not 1 (r=½π₀ , C=2π₀) .
What? Its just the volume, without units. What part of it doesn’t make sense?
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Its not supposed to mean anything, it’s about the equation not about the end result. We’re not calculating an actual cilinder
If we’re not calculating something useful, then why are we here and not in the library learing about the universe?
Better question: What curvature of space is necessary for the apparent value of π to be 5?
We’re learning maths, which is arguably the foundation of the universe.
I’m afraid that that is beyond the comprehension of my human existence
~~honestly I don’t know if there is any way to measure curvature of space , but its slightly more curved than the surface of a ball (where π=4.712)~
edit : its more complex than that and topology of non euclidean spaces hurts
Kind of curious how you got that value. I think the ratio of circumference to diameter (“pi”) is actually smaller in spherical geometry, in the most extreme case (the equator) it’s just 1. You could say “pi = 5” for circles of a specific radius in hyperbolic geometry, I guess.
my mistake was using the sum of angles in a triangle which was kinda dum but whatever . I also tried calculating via the circumstance of a circle placed at a pole where π was 20x smaller for the case I was using but its not linear so I looked deeper which was a big mistake .
BTW the ratio of circumstance to radius for a circle which is also an equator of the space is ¼ not 1 (r=½π₀ , C=2π₀) .
I think you mean 4, which makes the ratio of circumference to diameter 2 (either way, no idea how I messed up that one).
oopsie :3
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