Monte Carlo Method to Estimate Pi

I need to generate one million random points in a square of side 2 in the xy-plane corresponding to −1 < x ≤ 1 −1 < y ≤ 1 .

Then, I need to choose the x and y positions of the points from a uniform random distribution. For each of the points in the box that I generate, I will then need to calculate the distance from the origin. Count the number of points that fall inside of a circle of diameter D = 2 inscribed in the box. The ratio of the number of points inside the circle to the total number of points in the box is proportional to the ratio of their areas. Use this MonteCarlo method to estimate pi.

How would I go about doing this?

Answer 1

[James Tursa]

First look at the doc for rand to see how to generate random numbers between -1 and 1:

http://www.mathworks.com/help/matlab/ref/rand.html?searchHighlight=rand

Then you could type "Monte Carlo method to estimate pi" in to Google and see plenty of links to guide you through this task.

https://www.google.com/?gws_rd=ssl#q=Monte+Carlo+method+to+estimate+pi