Circle A has a center at #(1 ,5 )# and an area of #12 pi#. Circle B has a center at #(8 ,1 )# and an area of #3 pi#. Do the circles overlap? If not, what is the shortest distance between them?
We first get the radii of the two circles.
Then the distance between the centers:
The radii add up to
This is much smaller than the distance, so they do not overlap. The smallest distance between them is