How do I make points inbetween two points as if they were within a circle

Ok so basically what I wanna do is make a bunch of parts which are put together to make a straight line which indicates the route troops will be going on a circular earth map. I think what I wanna do is like generate points in-between those 2 points (the position of the troop and the mouse hit position) as if it were a circle and those generated points would be the line part positions. I think I’ll have to do some math and trigonometry but I suck at that.

Here’s what it could look like.


The curvature of the line would be hard to see from this angle so I made a 2D version of my problem

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Yeah, you’d probably have to use math.sin().

But how would I apply that? >>

mysphere.rbxl (91.8 KB)