Thread: circle geomtery/ theorem

The points A(-3,19) B(9,11) and C (-15, 1) lie on the circumference of a circle. Find the coordinates of the centre of the circle.

I know how the find the mid-point given only two points on a line, but not sure how to do this one.

And are these points chords?

Originally Posted by Tweety

The points A(-3,19) B(9,11) and C (-15, 1) lie on the circumference of a circle. Find the coordinates of the centre of the circle.


I know how the find the mid-point given only two points on a line, but not sure how to do this one.

And are these points chords?

the two line segments that connect the points are chords.

find the equations for the perpendicular bisectors of both chords ... their intersection is the circle's center