>>12835056When you approximate the circle with regular polygons, you do it with tangent lines.
For an n-gon with big n, when you zoom in, the polygon and the circle are almost the same thing, and "at infinity" the Are the same thing.
Now with the staircase no matter how many times you folded it, when you zoom in, you are going to be seeing a bunch of right triangles formed by two parts of the staircase, and a part of the circle (which is approximately a line).
