How to find the length of a curve from a list of points using different length scales?

I want to find the length of a curve from a list of points using different length scales. The smaller the length scale, the more accurate is the result. I want to show this thing by writing a code. Starting from the sine curve will be enough.

x=(0:1:360)*pi/180;
y=sin(x);
plot(x,y);

Answer 1

[Matt J]

curveLength = sum(vecnorm(  diff( [x(:),y(:)] )  ,2,2))

[Lila Yuwana]

Thank you. It works..

[Matt J]

If so, please Accept-click the answer.

[Philipp Haselbach]

works! Thanks

Answer 2

[Tamas Rozsa]

Based on https://www.mathworks.com/matlabcentral/answers/1787410-how-can-i-calculate-the-length-of-curve, you may also calculate a more detailed (and in some cases more accurate) result, by utilizing gradient() instead of diff(), and/or cumsum() instead of sum(), depending on your exact use-case:

dX = gradient(X);
dY = gradient(Y);
% option 1
Len = cumsum(hypot(dX,dY))  % if sublengths of all segments also needed
% option 2
Len = sum(hypot(dX,dY))     % if only total length needed