How to calculate the length of a curve with known coordinates (x,y)?

How to calculate the length of a curve with known coordinates (x,y)? using Excel and matlab is OK.

Answer 1

[Sam Chak]

Hi @albert WAN

If you are referring to the arclength calculation, then refer to the following

https://www.mathworks.com/matlabcentral/answers/430762-calculating-arc-length-of-a-curve

https://en.wikipedia.org/wiki/Curvature#In_terms_of_arc-length_parametrization

https://en.wikipedia.org/wiki/Arc_length#Finding_arc_lengths_by_integration

On the 2-D plane, the arc length can be calculated by this formula:

provided that there are sufficient sample points to accurately obtain .

Answer 2

[Stephen23]

The simplest approach is to download John D'Errico's excellent ARCLENGTH function:

https://www.mathworks.com/matlabcentral/fileexchange/34871-arclength