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| Title | Calculate Pi using several series |
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| Keywords | pi, calculate, series, Euler, Gregory's Formula, Gregory's Series, Machin's Formula |
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| Categories | Algorithms |
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This example shows how to calculate Pi using the following formulas:
- Pi = 4 * Atn(1)
- Gregory's Formula (slow)
Pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
- Gregory's Series
Pi/2/Sqrt(3) = 1 - 1/3/3 + 1/5/3^2 - 1/7/3^3 + ...
- Machin's Formula
Pi/4 = 4*atn(1/5) - atn(1/239)
- Euler's Formula
Pi/4 = 4*atn(1/2) + atn(1/3)
See the code for the details.
Also see Pi and the Fibonacci Numbers for lots of interesting discussion.
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