How to plot circles around centre points?

Hi, I woild like help with my plot. Each point p2...p9 (with p7 omitted) are cetnre points of circles of radius 250 and I would like to know how to include the circle in this plot to show their edges.

p1=zeros(1,1); 
p2= 1i*500;
p3= 2i*500;
p4= p1+500*(cosd(30)+(1i*sind(30)));
p5= p2+500*(cosd(30)+(1i*sind(30)));
p6= p3+500*(cosd(30)+(1i*sind(30)));
p8= p5+500*(cosd(30)-(1i*sind(30)));
p9= p6+500*(cosd(30)-(1i*sind(30)));
s=[p2,p3,p4,p5,p6,p8,p9];
figure, scatter(real(s),imag(s));grid;

Also in p5 I have some random points within the circle radius (that may also exceed the radius) and I would also like to know how to add these on the plot

      U_rad=rand(100,1)*(289-35)+35; 
      U=rand(100,1)*360;
      U_pos=(p5+U_rad.*(cosd(U)+1i*sind(U)));

Answer 1

[Image Analyst]

ajk1, try this:

clc;    % Clear the command window.
close all;  % Close all figures (except those of imtool.)
clear all;
workspace;  % Make sure the workspace panel is showing.
format short g;
format compact;
fontSize = 20;

p1=zeros(1,1);
p2= 1i*500;
p3= 2i*500;
p4= p1+500*(cosd(30)+(1i*sind(30)));
p5= p2+500*(cosd(30)+(1i*sind(30)));
p6= p3+500*(cosd(30)+(1i*sind(30)));
p8= p5+500*(cosd(30)-(1i*sind(30)));
p9= p6+500*(cosd(30)-(1i*sind(30)));
s=[p2,p3,p4,p5,p6,p8,p9];
x = real(s);
y = imag(s);
theta = 0 : 0.01 : 2*pi;
radius = 125;
% Plot all the circles with a radius of 125
for k = 1 : length(x)
  xCenter = x(k);
  yCenter = y(k);
  thisX = radius * cos(theta) + xCenter;
  thisY = radius * sin(theta) + yCenter;
  % Plot cross hairs at center
  plot(xCenter, yCenter, 'r+', 'MarkerSize', 15, 'LineWidth', 2);
  hold on;
  % Plot circles around the center
  plot(thisX, thisY, 'b-', 'LineWidth', 2);
  fprintf('Plotted circle #%d at (%.1f, %.1f)\n', k, xCenter, yCenter);
end
axis equal;
% xlim([0 20]);
% ylim([0 20]);
grid on;
xlim([min(x)-radius, max(x)+radius]);
ylim([min(x)-radius, max(y)+radius]);
xlabel('X', 'FontSize', fontSize);
ylabel('Y', 'FontSize', fontSize);

[ajk1]

Thanks again!

Answer 2

[Image Analyst]

Did you try plot?

plot(real(s),imag(s), 'bo', 'MarkerSize', 20, 'LineWidth', 2);
grid on;

[ajk1]

Hi thanks for your comment, ideally I would like to keep the centre point as I need to show this position and around this centre point I need to plot a circle of radius 250 (meters). Then using the code for generating points (U_pos) I would like to know how to plot these points inside the area of the central circle (ps) on one graph. So it's basically an attempt of plotting multiple items on the graph that overlap but I'm not sure how to do it. I have tried but failed. Thanks.