Circle A has a center at #(1 ,-4 )# and a radius of #2 #. Circle B has a center at #(9 ,3 )# and a radius of #5 #. Do the circles overlap? If not what is the smallest distance between them?
The circles do not overlap;
they are separated by a minimum distance of
The distance between the centers of the circles:
Circle A covers 2 (units) of the distance along the line segment from the center of A to the center of B.
Circle B covers 5 (units) of the distance along the line segment form the center of B to the center of A.
A distance of
is not covered by either circle.