how to create an random points in desired circle using rand function??

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Jayesh Nakum
Jayesh Nakum on 11 Sep 2015
Commented: Priyam Shah on 25 Sep 2020
i want to create an one circle and in that i want to create random points and circle around that point at my desired radius,to shoe resource allocation in mobile using matlab
  1 Comment
Karleen Tur
Karleen Tur on 17 Mar 2019
Hello,
I am doing a project related to the resource allocation in femocell. I am also facing this issue and your thread was very helpful for me, so thank you for that.
I wanted to ask you what exactly you did in your project ? so if any part is common I can reffer to your code of matlab.
If you are intersted in helping please let me know on mahimnat27@gmail.com
Kind Regards,
Mahimna

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Accepted Answer

Hamoon
Hamoon on 11 Sep 2015
Edited: Hamoon on 11 Sep 2015
You need to generate points which have random angles smaller or equal to 2*pi and random radius smaller or equal to the circle radius, here is the code:
n=100; % number of points that you want
center = [1 ,2]; % center coordinates of the circle [x0,y0]
radius = 10; % radius of the circle
angle = 2*pi*rand(n,1);
r = radius*sqrt(rand(n,1));
X = r.*cos(angle)+ center(1);
Y = r.*sin(angle)+ center(2);
plot(X,Y,'.k')
  8 Comments
Priyam Shah
Priyam Shah on 25 Sep 2020
I have an extra question added to the solution as to how to repeat this 1000 times and plot a randomly selected single instance on the graph

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