Find center and radius of circle with n# of equally spaced points

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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.

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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.