# 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

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 $\sqrt{{9}^{2} + {6}^{2}}$
This is less than than 6+5 so the circles overlap..