Find the coordinates of a point on a circle without knowing the center point.

[b1gd0g]

Given 2 points on a circle, call them A and B. I know the cartesian coordinates of A. I also know the radius of the circle, the slope of the tangent line at A, and the length and direction of the arc between A and B. I don't know the coordiates of the center of the circle.

How do I find the coordinates of point B?

 

[mathman]

The radius at A is perpendicular to the tangent line. The center is along the radius at a known distance. There are only two possible points. Use the information about B (direction of arc??) to choose the location of the center.

 

[b1gd0g]

Thanks mathman. I just needed a little insight, and you have provided that quickly and succinctly.