Hi Cristian, I understand that you are trying to find the area, centroid and the moment of inertia for any polygon by providing its vertices.
For the first part of the question, you can use the in-built functions that MATLAB provides. (assuming that you are using R2023A) Here is an example for the same:
To find the centroid of a polygon -
%Enter the x and y values corresponding your need.
x = [0, 2, 2, 0];
y = [0, 0, 1, 1];
vertices = [x', y'];
[X, Y] = centroid(polyshape(vertices));
% X and Y are the coordinates of the centroid
To find the area of a polygon -
x = [0, 2, 2, 0];
y = [0, 0, 1, 1];
vertices = [x', y'];
area = polyarea(vertices(:,1), vertices(:,2))
I guess you forgot to add the image that you are talking about for the moment of inertia part of the question.
As for the GUI, yes you can use MATLAB Appdesigner for the same.
I suggest you to use the two pane application. On one side, you may add the 'Axes' component and on the other you can add the 'Edit field' and 'Button' components which can be used to tweak the parameters according to your need. The button can invoke the call back functions which would perform the above operations.
Here are some useful links that may help -
