# Circle A has a radius of #3 # and a center of #(8 ,7 )#. Circle B has a radius of #2 # and a center of #(6 ,1 )#. If circle B is translated by #<2 ,7 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

##### 1 Answer

Feb 9, 2018

**Circles Overlap**

#### Explanation:

Given :

New

Sum of Radii

Since #R_A + R_B > vec(O_AO_B), both the **circles overlap**