# Calculating arc length of a curve

66 views (last 30 days)
Hari krishnan on 19 Nov 2018
Commented: Hari krishnan on 19 Nov 2018
I have the trajectory for an object moving on a plane as shown in the figure. Can any one give me an idea to calculate the arc length of this curve? Sample data along with the trajectory plot is attached.

Torsten on 19 Nov 2018
Use Pythagoras' theorem:
n = numel(x);
length = 0.0;
for i = 1:n-1
length = length + sqrt( (x(i+1)-x(i))^2 + (y(i+1)-y(i))^2 );
end
Hari krishnan on 19 Nov 2018
@ Torsten, I have seen this before. This is to calculate how curvous the trajectory or line is. But what i want to see is how tortous the trajectory is, which can be calculated as the arc length divided by the eucledian distance between the initial and final set of points.

### Categories

Find more on Annotations in Help Center and File Exchange

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by