# 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?

##### 1 Answer

Oct 2, 2016

#### Answer:

The circles overlap

#### Explanation:

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..