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Approximating Pi

Python

Two simple ways to approximate π by infinite series.

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Files
  • main.py
main.py
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#ประมาณค่า π = 4(1 - 1/3 + 1/5 - 1/7...)
sum = 0.0
factor = 1
for k in range(0, 10000):
  sum = sum + factor/(2*k+1)
  factor = factor * (-1)
print(4 * sum)

#ประมาณค่า π = sqrt(12)(1 - 1/(3x3) + 1/(5x9) - 1/(7x27) ...)
import math
sum = 0.0
factor = 1.0
for k in range(0,20):
  sum = sum + factor/(2*k+1)
  factor = factor * (-1/3)
print(math.sqrt(12) * sum)