In this applet, a circle is created in the center of the Applet Window. Your goal is to recreate the circle as best you can using Bezier curves.

• Choose n+1 points p_i on the circle as control points with p₀=p_n. How good of an approximation is this to a circle? Does the approximation get better using more and more points?
• Can you get a better approximation using a regular n-gon (all sides with equal length) for the control polyline. You need n+1 control points with p₀ = p_n.
• Create the best approximation to the circle using n+1 points with p₀=p_n.
  • How many points maximally should be on the circle?
  • Is there any guidelines for placing the points that you used.
• Using Multiple Curves,
  • First approximate a quarter circle with a cubic Bezier curve.
  • Then repeat this process for the other three quarters with cubic Bezier curves.
  • Does this give a reasonable approximation to a circle? What is better about this approximation than the other approximation methods?