geometry - How to create circle with Bézier curves?

Question

We have a start point (x, y) and a circle radius. There also exists an engine that can create a path from Bézier curve points.

How can I create a circle using Bézier curves?

Answer 1

As already said: there is no exact representation of the circle using Bezier curves.

To complete the other answers : for Bezier curve with n segments the optimal distance to the control points, in the sense that the middle of the curve lies on the circle itself, is (4/3)*tan(pi/(2n)).

So for 4 points it is (4/3)*tan(pi/8) = 4*(sqrt(2)-1)/3 = 0.552284749831.