Open AccessApplication of Monte-Carlo Simulations in Estimation of Pi
Author(s) -
Rajkumar Sharma,
Piyush Singhal,
Manoj Kumar Agrawal
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1116/1/012130
Subject(s) - decimal , monte carlo method , irrational number , pi , value (mathematics) , mathematics , dimension (graph theory) , unit circle , representation (politics) , statistical physics , arithmetic , combinatorics , statistics , physics , geometry , politics , political science , law
The term Pi can be defined as the share of the boundary of any circle to the diameter of that circle. Despite the circle’s dimension, this ratio is the same for all circles. Sometimes it is approximated as 22/7. In decimal form, the value of Pi is approximately 3.14. These approximations result in an error during precise calculations because actually, it is an irrational number. Its decimal representation is non-repeating & non-terminating. In this paper, an effort has been made to estimate the value of Pi using Monte Carlo Simulations.