# Monte Carlo Simulation (Estimation of pi)

The app is currently under development. A first version is expected to be available free of charge from 2018 on Google Play™.

### Description

The app aims to illustrate the principle of a Monte-Carlo simulation with a simple example. It is shown how to determine the circle number Pi. For this purpose, a square with the side length 1 is defined. Into this square, a quarter circle with radius 1 is drawn (red in the screenshot). The Monte-Carlo simulation now consists of randomly dragging points within the square by a random number generator. By comparing the number of points in the circle with the number of points outside the circle, Pi can be determined.

The screenshots show the current state of the app. In the middle area of the screenshots, you can see the square with a quarter circle. In the first line, the number is the number of points in the circle and the second number is the number of all points together. The second line shows the currently determined value for the circle number Pi. The app draws 1000 points at each step and then updates the calculation. In the lower area of the screenshots, you can see how the calculated number of Pi changes during the simulation.