Hello everybody.
Here i have this line, and i got a point on it. the goal is showing the rotation of the point on the plane, with an arc.
I wanted to find the direction normal to the curve, to use as the tangent of the arc using the planes, but I couldn’t and thought of another strategy, like this.
i drew the points and the arc on rhino, preemptively. then i used the points to build the arc with grasshopper

Anybody with any suggestions how this could be done using ‘perp frame’ 'align plane or 'adjust plane ? I didn’t quite understand how to use those commands

@HS_Kim
thank you for your time, this solution is nice but doesnt work in all cases for what i need.
I woul like the arc is always an arc of a circle.
let me try to explain. i want the arcs to describe the rotation of the point, so they must always be arcs of circumference.

I drew the arcs i want in rhino to try explain better what i mean.

This solution works when the angle of rotation is 90° like here, and coould be ok.

I found a solution quick and dirty way to solve. however, any advice from you is welcome

using rotate 2 times, once to find the end point of the arc (variable) and once to find the direction of the tangent normal (fixed) studio-show rotation with arc.2.gh (17.9 KB)