MATLAB: Plotting random points on a circle

MATLABplotrandom

I am trying to plot 50 random points on a circle with a radius of 500 then store the x, y coordinates of the points in a matrix and calculate each point's distance from the centre of the circle (0,0), any reference I could use or how I can achieve this?

Best Answer

Assuming you mean inside the circle and not on that circle, because then obviously the distance is 500 Anyway, it is much easier to work in polar coordinates for this task, then the distance is simply the radius we randomize

r = rand(1, 50) * 500;
theta = rand(1, 50) * 2 * pi;
[x,y] = pol2cart(theta, r);
plot(x,y,'o');

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MATLAB: Circle packed with Circles

Here the code :

First, you need to create a m-file

function [X Y] = circle(center,radius,n)
THETA = linspace(0, 2 * pi, n);
RHO = ones(1, n) * radius;
[X Y] = pol2cart(THETA, RHO);
X = X + center(1);
Y = Y + center(2);

Save this code with filename 'circle.m'

Then create a new m-file

function circles(R);
axis([0 2*R 0 2*R]); axis off; grid off; hold on;
[xoc yoc] = circle([R R], R, 1000); % outer circle
plot(xoc, yoc, '-','linewidth',2,'color',0.5.*rand(1,3));
[xcc ycc] = circle([R R], 1, 1000); % center circle
plot(xcc, ycc, '-','linewidth',2,'color',0.5.*rand(1,3));
numlapis = ((2*R) - (R+1)) / 2;
for cnt1 = 1 : numlapis
    lapis(cnt1) = cnt1 * 6;
    [xcoor ycoor] = circle([R R], cnt1*2, lapis(cnt1)+1);
    for cnt2 = 1 : lapis(cnt1)
        [xc yc] = circle([xcoor(cnt2)  ycoor(cnt2)], 1, 1000);       
        plot(xc, yc, '-','linewidth',2,'color',0.5.*rand(1,3));
    end
end

Save this code with filename 'circles.m'

And about how to use it.

After you save the files, you can call it from command window.

Just type 'circles(any diameter)'

Eq : circles(5);

Note that this function works well with odd number.

Just try :)

MATLAB: I need help to plot circle around the points and these points are in a circle. please response

n=10; % number of points that you want
    center = [2 ,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,'.r')
     hold on
     %%Draw circle 
     R = 1. ;  % radius 
     th = linspace(0,2*pi) ;
     for i = 1:length(X)
         x = R*cos(th)+X(i) ;
         y = R*sin(th)+Y(i) ;
         plot(x,y,'b')
     end
     hold on
     center = [2 ,2]; % center coordinates of the circle [x0,y0] 
    radius = 10; % radius of the circle
    angle = 0:.01:2*pi;
    r = radius;
       X = r.*cos(angle)+ center(1);
       Y = r.*sin(angle)+ center(2);
     plot(X,Y,'.b')

Best Answer

Related Solutions

MATLAB: Circle packed with Circles

MATLAB: I need help to plot circle around the points and these points are in a circle. please response

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