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Originally Posted by N1
I'm aware of the formula. Do we know what exactly pi is?
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PI is irrational but it is a finite number.
The surface area of the sphere is still finite.
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Sounds like it's all done and dusted then & any researchers still working on this particular problem would be wasting their time. 
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A misconceptions about science.
Scientific theory is only as good as the technology performing the observation or experiment. With improvements in technologies, scientific theories undergo retesting and are never done and dusted.
The Newtonian model of the moon's orbit as being in freefall around the Earth is a good example. For 250 years theory agreed with observation until Apollo astronauts put mirrors on the lunar surface which allowed a far more precise measurement of the Earth Moon distance.
It was found that the moon is not in freefall but is moving away from the Earth.
The successive improvements in measuring the anisotropic detail in the cosmic radiation background has only reinforced that the universe is flat.
Steven