Circle A has a center at #(2 ,-1 )# and a radius of #3 #. Circle B has a center at #(-3 ,6 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them?
They do not overlap. The shortest distance is
Here is the graph of the circles:
The circles do not overlap.
The distance, d, between the centers is:
To find the shortest distance between them subtract the radii of both circles from d: