Geometrical Arc to Bezier Curve

Question

When drawing an Arc in 2D, using a Bezier Curve approximation, how does one calculate the two control points given that you have a center point of a circle, a start and end angle and a radius?

Answer 1

There's Mathematica code at Wolfram MathWorld: Bézier Curve Approximation of an Arc, which should get you started.

See also:

• Drawing a circle with Bézier Curves
• Approximation of Circle Using Cubic Bezier Curve

Answer 2

This isn't easily explained in a StackOverflow post, particularly since proving it to you will involve a number of detailed steps. However, what you're describing is a common question and there's a number of thorough explanations. See here and here; I like #2 very much and have used it before.