I'm given two points on a circle:
- a point $(x_1, y_1)$ with corresponding normal vector $(u_1, v_1)$ and
- a second point $(x_2, y_2)$ (without normal vector).
How can I compute the circle? (Especially the radius. The center is rather trivial.)
My thoughts so far:
The first point with normal vector defines a straight line containing the center. So I'd need to find the point $(x_c, y_c)$ on that line having the same distance $r$ to both given points.