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I need to programatically generate two-dimensional circles of various dimensions, knowing only their radius and position. The circles will be drawn by employing 4 cubic Bezier curves. How should I calculate the Cartesian coordinates of the two intermediary control points of each arc?

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up vote 2 down vote accepted

Wikipedia has it all worked out.

The control points between $(1,0)$ and $(0,1)$ are at $(1,k)$ and $(k,1)$ with $k=\frac43(\sqrt2-1)$.

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Thank you, joriki. For some reason missed the article Bezier Splines. I can see it now linked at the bottom of the Bezier Curves article where this very matter is being discussed. – A Dwarf Oct 25 '12 at 22:59
@ADwarf: You're welcome! – joriki Oct 25 '12 at 23:01

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