ESTIMATION OF PI USING MONTE CARLO METHOD USING PYTHON

 

The value of pi is calculated using monte carlo method by taking a square of 1 unit and inscribing a circle in the square. The radius of circle is 0.5 units. Now the ratio of area of circle to the ratio of square multiplied by 4 gives us pi.

Python code:

import random

n=1000000

c_points=0  #points inside circle

s_points=0  #points inside square

for i in range(n):

    x = random.uniform(0,1)

    y = random.uniform(0,1)

    d = x**2 + y**2

    if d<=1 :

        c_points +=1

    s_points +=1

    pi = 4*(c_points/s_points)

    

print("pi value is:", pi)

Conclusion: Higher the value of n, higher is the accuracy of value of pi.