Monte Carlo Calculates Pi Value

It is necessary to find the value of a pi number using random numbers.

Calculate a ratio between a quarter-circle area in radius R = 1 and a square in the side

a = 1 (pi/4) using

Probability of hitting the rounding area of lotteries of points in the blocking square.

required:

1. A quarter of a circle should be drawn in a single radius.

2. Create a function that draws two numbers in the field [0,1] representing (x, y) squared in size

Unit.

a. Using the rand function

3. Calculate the distance from the center and determine if the point is within the circle or not.

4. Drag N sweeps and calculate the ratio of the number of points falling in a circle to the whole

The points.

5. Draw the convergence graph of the calculated ratio depending on the number of sweepstakes

Answer 1

[Image Analyst]

We'd be happy to help with the code for your assignment after you read this link

In the meantime, using this code from the FAQ will help you to draw a circle for your Monte Carlo pi estimation problem. How do I create a circle

Basically it's something like

for k = 1 : numPoints
    % Get x,y
    % Determine if (x,y) is in circle, if so increment counter
    ratio(k) = numInCircle / numPoints
    plot(ratio, 'b-')
    drawnow;
end

Then, if you're an overachiever like me, you'll end up with something like this:

[Stephan]

49992 +2