# Circle A has a radius of #5 # and a center of #(8 ,2 )#. Circle B has a radius of #3 # and a center of #(3 ,7 )#. 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 30, 2016

The distance between the two centers is equal to the radius of the larger circle, therefore, the circles overlap

#### Explanation:

The new center of circle B is (5, 6)

The distance between the two centers is: