Or like this?

Hi pgimeno! Sorry for late reply but have suffered a major power outage. Discovered that the edge case failures in my code was related to " relational operator" failure. When determining if circle was within radius of sector, the conditional statement occasional fails. dis = distance of ci...

Uncle!
I give up.
What's going on bright eyes.
Any help appreciated.

As far as I can tell, we are all beating the same dead horse. Haven't found any edge cases but am sure eagle eyes will find some. --[[ format: circle: c = { x, y, r } arc: a = { x, y, a1, a2, l } a.a = ( a.a2 + a.a1 ) / 2 -- arc center angle a.w = abs( a.a2 - a.a1 ) / 2 -- arc half width ]] contactA...

Don't know what kind of monster I've created but really doesn't have much to do with the original request.

Talk about beating a dead horse.

Such is life.
Always nice to create beautiful solutions to non-problems.
Had to add a check to see if the center of the arc was inside the circle.

Ouch!
Officially stomped on!
Forgot about zero angle crossing.
Revised demo attached.
No contest. Just reviewing trig. After all, who can compete with pgimeno
Thanks pgimeno for help.

Actually pretty simple.
Best

Just trying to figure out how to texturize a circle to make like a fake sphere.