Circle A has a center at #(-6 ,4 )# and a radius of #9 #. Circle B has a center at #(1 ,-5 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?
Yes, they overlap.
As the radii of the circles sum to
To see why this is the case, construct the line segment from the center of A to the center of B. All points on the segment with distance
The distance between the center of circle A and the center of circle B is