The best quintic chebyshev approximation of circular arcs of order ten

Mathematically, circles are represented by trigonometric parametric equations and im- plicit equations. Both forms are not proper for computer applications and CAD sys- tems. In this paper, a quintic polynomial approximation for a circular arc is presented. This approximation is set so that the error function is of degree 10 rather than 6; the Chebyshev error function equioscillates 11 times rather than 7; the approximation order is 10 rather than 6. The method approximates more than the full circle with Chebyshev uniform error of 1/29. The examples show the competence and simplicity of the proposed approximation, and that it can not be improved.