Question

find the length of the radius of the circle with three of its points having vertices. (8,11),(9,-6) and (3,12)

Answer 1

Since you're given 3 points, you can connect the 3 vertices to form a triangle.
When the vertices are connected, you'll see that the sides of the triangle are chords of the circle.

Answer 2

And you'll then find the perpendicular slope of the chords. Then you'll do the same for another chord. So now you have 2 perpendicular slope of 2 chords.
Now you need to find the midpoint of each chord and use that to write an equation for the 2.
After finding the 2 lines, find the intersecting point of the 2 lines and use the distance formula from the intersecting point (center) to one of the vertices and that'll give you the radius.

Answer 3

good luck!

Answer 4

tnx