Is it possible to make a circle containing specific points?

I want to make a circle using 'percentile'.

for example, If the percentile is 100, the circle contains every points.

I know how to make a quadrangle using perenctile. but i have no idea making a circle using percentile.

Thanks.

[Walter Roberson]

If percentage is less than 100 then which part should not be drawn?

[Sierra]

In my last case for quadranle, I used 97.5 percentile.

so I did like this code to make a quardrangle containing points using 97.5 percentile.

 prctile(trajectory(i).Longitude,[2.5 97.5]);
   prctile(trajectory(i).Latitude,[2.5 97.5]);

But for circle, I have no good idea.

I'm just thinking that from a mean point, I draw a circle until the circle contain points using 97.5 percentile like the image.

Thanks

[Jan]

@Sierra: Let me ask you again to provide some input data, such that the readers do not have to guess, how the dots are stored. Many of your questions are hard or impossible to answer, because you do not provide enough details and several questions for clarifications did not get any response from you.

This is not an efficient way to use the forum. Please read and consider this: https://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

[Sierra]

Thanks, Jan

I read it and I will do that from now on.

Answer 1

[Image Analyst]

You can use viscircles to draw a circle. Something like

numPoints = 200;
x = rand(1, numPoints) - 0.5;
y = rand(1, numPoints) - 0.5;
plot(x, y, 'b.', 'MarkerSize', 20);
grid on;
radii = sort(sqrt(x.^2 + y.^2), 'ascend');
% Find circle with 70% of the points
index = 70*length(radii)/100

index = 140

radius = radii(index)

radius = 0.4631

viscircles([0,0], radius, 'Color', 'r')

ans = 
  Group with properties:

    Children: [2×1 Line]
     Visible: on
     HitTest: on

  Show all properties

title('70% of points are within the red circle')
axis square