Question

Problem 2. Figure 1 shows the function f (x) = v 1-x2 along with 200 random points distributed uniformly in the unit square. Use this information to estimate t. Explain your method. 1.0 0.8 0.6 0.4t 0.0 0.0 0.2 0.4 0.6 1.0 Figure 1: 200 uniformly distributed points in the unit square, and the curve f(x)- V1-r' 0.8

Answer 1

`Hey,

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clc
clear all
x=rand(1,200);
y=rand(1,200);
f=@(x) sqrt(1-x^2);
fplot(f,[0,1]);
hold on;
plot(x,y,'*b');
disp('Approximation of pi is');
PI=sum(y<=sqrt(1-x.^2))/200*4

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MATLAB R2018a Figure ② ▼| rch Documentation Log In EDITOR naertfEile Edit View Insert Iools Desktop Wndow Help Find Files Go To Comment New Open Save Print Find Indent C: Users PRADEEP KALRA 、Documents Current Folder Edit Name- 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 mathlab E in New folder a1.m a4.m a5.m A1.dat A1.mat A2.dat A3.dat V New to Details App 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.9 1 PI Name Value 3.220000000000000 PI 3.2200 x200 double 1x200 double Ln 10 Col 30 AENG 947 AM IN 05 07/19 O Type here to search

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