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Do you think it would help mankind a new formula for measuring the area of a circle? the length of the circle? how will it help science? just wondering...what would happen if we had a number (PI-3,14...88) so accurate that it would remove the error in general. I'm waiting for your comments...
When AI can answer questions like these with logical proofs then it has truly arrived.
I often find it amazing that the area is a circle is calculated with an irrational number and we are all just cool with it. I wonder if a perfect circle can ever be defined
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but what if there are several perfect levels with the same result. It's just that everything is viewed from a different angle. then it's possible to measure even the entire universe to the accuracy of 1 atom? it's like making a new engine mechanism, but with perfect accuracy. it all depends on the audience who is interested. elsewhere people really want to know it, the goal is simple. something new in 2000 years since the circle was subdivided into 4 then 8 -16-32-64 parts and there wasn't exactly an exact definition of the number of PI.
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So, it wouldn't really help us practically to find a new equation, although it might be quite interesting mathematically.
Also, we also know π so accurately that the error come entirely from circles in the real world not being perfect, as well as somewhat imprecise measurements. π is know to millions of decimal places. That kind of accuracy is unheard of in anything else.
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accuracy to the last digit. It's still more accurate than a trillion decimal points. Although if you don't need it, that's fine...
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