0

Say there is a point P, with coordinates $(x_1,y_1)$, and there is a circle that passes through this point, and the origin. There are n# of equally spaced points that lie on the circle leading from the origin up to point P. The first point MUST lie on the x axis.

enter image description here

I am trying to figure out how to solve for the center and radius of a circle, this is in terms of $n$, $x_1$, and $y_1$! Any help would be very appreciated.

Dustin Sloane
  • 1
  • 1
    $C$ must lies on the bisector of $OP$. Value of $n$ tells you the angle between $CP$ and $OP$. Intersection of these two lines gives you $C$. – A.S. Feb 22 '16 at 19:16
  • By cross product find center angle OCP. Divide by 2n getting $ \alpha = arctan( xO/yO)$ – Narasimham Feb 22 '16 at 19:37
  • 1
    ^Not sure what you mean by "by cross product find center angle OCP". Could you be more specific? – Dustin Sloane Feb 24 '16 at 04:22

0 Answers0