# Circle A has a radius of #2 # and a center of #(1 ,7 )#. Circle B has a radius of #6 # and a center of #(8 ,1 )#. If circle B is translated by #<-4 ,3 >#, 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 :

Circle B translated by

Sum of Radii

New coordinates of

Since sum of radii greater than the distance between the two circle

centers, **Circles Overlap**