\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2014c.00826}
\itemau{Singh, Udayan}
\itemti{Estimation of the value of $\pi$ using Monte Carlo method and related study of errors.}
\itemso{Math. Sch. (Leicester) 42, No. 5, 21-23 (2013).}
\itemab
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.
\itemrv{~}
\itemcc{K50 N50 K90 F50}
\itemut{$\pi$; Monte Carlo methods; simulation; circles; squares; linear congruential random number generators; errors; probability; computer programming; C++}
\itemli{}
\end