Pi_value.m - Monte-Carlo simulations of Pi clc close all...

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% Monte-Carlo simulations of Pi clc; close all; clear all; % N = Number of trials % T = Total Number of points inside the square % c = Number of points in Circle % r = Radius of circle % P = Approximate value of "pi" i=input('Insert value of i: '); N = 10^i; r = 1; T = 1e4 ; P = zeros(1,N); for k = 1:N Px = r*rand(1,T); % Random x-Coordinate Py = r*rand(1,T); % Random y-coordinate r1 = sqrt(Px.^2+Py.^2); c = 0; for i=1:T if (r1(i)<=r) % Check- if the point lies inside the circle c = c+1; % If Yes, count the number of points end end P(k) = 4*(c/T); end m = mean(P);
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