The circle formulas
Archimedes: trapping pi between polygons (~250 BCE)
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.
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Siapa yang pertama kali menghitung pi secara akurat?
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Hasilkan digit pi
π has no final digit
Pi is irrational. Its decimal expansion never ends and never repeats. The digits shown below are verified against the rumus leibniz.
π/4 = 4·arctan(1/5) − arctan(1/239)
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Pi
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