Circle A has a center at #(8 ,1 )# and an area of #81 pi#. Circle B has a center at #(4 ,2 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them?
Circle A and Circle do overlap.
Circle A, centered at (8,1), area
Circle B, centered at (4,2), area
distance between the two center points
As the distance between the two centers (4.123) is smaller than the sum of the two radii (9+6=15), the two circle overlaps.