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

##### 1 Answer

Aug 18, 2017

The distance between the centers of the circles is

#### Explanation:

The new center of circle B will be

We can now find the distance between the centres of the two circles:

Given that the radius of circle a is 5, the circles will definitely overlap.