File:Circle and cubic bezier.svg

English: Cubic Bézier spline approximation (in red) overlayed on a black circle of radius 112 units, with tangent (on-curve) control points drawn as squares and off-curve control points drawn as circles. The spline's on-curve control points are placed at the circle's horizontal and vertical tangent points. Off-curve control points are placed on these tangent lines, ${\displaystyle {\frac {4}{3}}\left({\frac {1-\cos 45^{\circ }}{\sin 45^{\circ }}}\right)\times 112={\frac {4}{3}}({\sqrt {2}}-1)\times 112=62}$ units from the on-curve control points.