How to estimate pi within a 1x1 square

Question

Matthew Lozancich 2017-11-27

0
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https://ww2.mathworks.cn/matlabcentral/answers/369394-how-to-estimate-pi-within-a-1x1-square

评论： Matthew Lozancich 2017-11-27

I was asked to create a function that plots points randomly in a [0,1]x[0,1] square. Then to estimate Pi based on the number of points that fall within the 1st quadrant unit circle.

So: points within the unit circle / points total.
This should roughly equal pi.I'm stuck on how to create that unit circle boundary and how to look at the # number of points within boundary.This is what I have so far:

function estpi=estimate(npts)
x=zeros(1,npts);
y=zeros(1,npts);
for i=1:npts
    x(i)=rand(1);
    y(i)=rand(1);
end
plot(x,y,'o')
end
%number of points inside circle/ total points