Circle A has a center at #(5 ,-2 )# and a radius of #6 #. Circle B has a center at #(-4 ,-8 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?
The circles overlap
Find the distance between the centres of the circles .
The distance between the x co-ordinates is 9 . The distance between the y co-ordinates is 6. ( if you are not sure about this sketch the points on a graph)
So the distance between the centres is
This is less than than 6+5 so the circles overlap..