I got flat strip of patches (all points y=0) and I'd like to bend that strip in the y-direction, so that the strip follows 1/4 of a circle. If possible, I'd also like to keep the distances between the points the same, that means if the distance from p1 to p2 is double the distance from p2 to p3, then the angle between p1 and p2 should be double the one between p2 and p3.

I'm not sure if I made myself clear, if not I can draw some images

Is this possible using the standard tools? It's a bit like rotating each point according to its distance to the start of the strip, something like a magnet-rotation.