@article {MATHEDUC.06285232,
author = {Singh, Udayan},
title = {Estimation of the value of $\pi$ using Monte Carlo method and related study of errors.},
year = {2013},
journal = {Mathematics in School},
volume = {42},
number = {5},
issn = {0305-7259},
pages = {21-23},
publisher = {Mathematical Association (MA), Leicester},
abstract = {From the text: The number it holds a special interest in the history as well as in the current use of mathematics and science. This constant, is a number whose value is close to 3.14. It is defined mathematically as ``the ratio of the circumference of a circle to the diameter of a circle". $\pi$ has numerous applications in mathematics as well as in science and technology. However, it is an irrational number, i.e. it cannot be expressed in the form $\frac{p}{q}$, where $p$ and $q$ are co-prime integers and $q\ne 0$. Because it is irrational, no exact value of $n$ can been found. Only estimates of $n$ have been put up. There are several methods to get an approximate value of $\pi$. One of them, discussed in this article, is by making use of the Monte Carlo method. This article describes a simulation method using the probability that a point chosen at random inside a square lies inside the inscribed circle.},
msc2010 = {K50xx (N50xx K90xx F50xx)},
identifier = {2014c.00826},
}