plot half of an ellipse that has 2 lines at the ends in matlab

You can plot half of an ellipse in MATLAB using the inbuilt function plot. The ellipse can be defined by its center, semi-major and semi-minor axes, and its angle. To create the two lines at the ends, you need to plot them separately using line function.

Here's some example code that plots half of an ellipse centered at (0,0) with semi-major and semi-minor axes of 5 and 3 respectively, and angle of 30 degrees. The two lines at the ends connect to the endpoints of the ellipse's major axis.

main.m
% Define the ellipse properties
center = [0, 0];
a = 5; % semi-major axis
b = 3; % semi-minor axis
angle = deg2rad(30); % angle in radians

% Create the ellipse points
t = linspace(0, pi, 100);
x = a * cos(t);
y = b * sin(t);

% Rotate the ellipse
R = [cos(angle), -sin(angle); sin(angle), cos(angle)];
points = R * [x; y];
x = points(1, :);
y = points(2, :);

% Plot the half ellipse
plot(x, y, 'LineWidth', 2)

% Plot the lines at the ends
line([-a*cos(angle), a*cos(angle)], [-b*sin(angle), -b*sin(angle)], 'LineWidth', 2)
line([-a*cos(angle), a*cos(angle)], [b*sin(angle), b*sin(angle)], 'LineWidth', 2)

% Set the axis limits and labels
xlim([-a, a])
ylim([-b-1, b+1])
xlabel('X')
ylabel('Y')
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30 lines

This code will produce a figure that looks like this:

Half ellipse with lines

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