# Circle A has a radius of #2 # and a center at #(5 ,6 )#. Circle B has a radius of #5 # and a center at #(3 ,4 )#. If circle B is translated by #<-2 ,1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

##### 1 Answer

Sep 28, 2016

The circles overlap.

#### Explanation:

If circle

The distance between the center of

We are told that circle

Considering the line segment joining the centers of the two circles,

we can see that

Since there is only