Circumcenter

All three perpendicular bisectors of the sides of a triangle will intersect at the same point - the circumcenter. The circle that that contains all three vertices of a triangles is called the circumcircle or circumscribed circle. Move the points of the triangle to see how the circumcenter changes.

Question 1

How does the circumcenter change as the triangle changes? What can you predict about the location of the circumcenter based on the type of triangle? -When is the circumcenter on the triangle? -When is the circumcenter inside the triangle? -When is the circumcenter outside the triangle?

Question 2

The circumcenter is the center of the circle that circumscribes the triangle. How would you describe, in words, the length of the radius of the circle that circumscribes a triangle?