plotting a circle cap
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I would like to write a code to plot a circle cap like the shape below.
In fact, 
θ, and a are given and I want to plot it using them. Note: It is not difficult to see that 
. Also, you can consider the center of the circle 
.
θ, and a are given and I want to plot it using them. Note: It is not difficult to see that . Also, you can consider the center of the circle .
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Plotting a section of a circle over a particular angular range is easy. You just have to determine the range you need.
R=2;
t0=40;
t=linspace(-t0,180+t0,1000);
plot(R*cosd(t), R*sind(t)); axis equal; axis padded
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r = sqrt(2);
theta = pi/3;
t = linspace(-pi + theta, pi - theta, 1000);
x_arc = r * cos(t) - r * cos(-pi + theta);
y_arc = r * sin(t);
figure;
plot(x_arc, y_arc, 'k', 'LineWidth', 2); % 'k' represents black color
axis equal;
axis padded;
title('Circular Arc');
xlabel('X-axis');
ylabel('Y-axis');
grid on;
Hamed
2024-1-10
Dyuman Joshi
2024-1-10
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