draw a circle point-by-point with a spiral path

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zeena alkateeb 2020-3-20

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https://ww2.mathworks.cn/matlabcentral/answers/512008-draw-a-circle-point-by-point-with-a-spiral-path

回答： Yash 2025-7-20

I need a matlab program to draw a circle point-by-point  with a spiral path,  I have center and radius coordinates 

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Answer 1

Yash 2025-7-20

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https://ww2.mathworks.cn/matlabcentral/answers/512008-draw-a-circle-point-by-point-with-a-spiral-path#answer_1568194

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Refer to below code snippet to draw a spiral that starts from the circle's center and stops at the circumference.

xc = 5;  % x-coordinate of center of circle
yc = 7;  % y-coordinate of center of circle
r  = 4;  % radius of circle
theta_max = 6*pi;  % turns in spiral, spiral reaches radius at theta_max
n_points = 1000;  % points in spiral
t = linspace(0, theta_max, n_points);
max_r_spiral = r;
a = 0;
b = max_r_spiral / theta_max;
% Spiral path (polar coordinates)
spiral_r = a + b * t;
spiral_x = xc + spiral_r .* cos(t);
spiral_y = yc + spiral_r .* sin(t);
figure;
hold on;
axis equal;
plot(xc, yc, 'ko', 'MarkerFaceColor','k');
theta = linspace(0, 2*pi, 200);
plot(xc + r*cos(theta), yc + r*sin(theta), 'k--'); % reference circle
for k = 1:n_points
    plot(spiral_x(k), spiral_y(k), 'ro', 'MarkerSize', 3, 'MarkerFaceColor','r');
    pause(0.01);
end
title('Circle point-by-point with a Spiral Path');