Archimedes used 96-sided polygons to prove 3 + 10/71 < π < 3 + 1/7, giving 3.1408 < π < 3.1429. He never computed π, he trapped it. The method works because the circle's perimeter lies between the two polygon perimeters.
Pi is irrational. Its decimal expansion never ends and never repeats. The digits shown below are verified against the rumus leibniz.
Memorize pi, e, and 40+ mathematical constants using the numpad path method
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