# Circle A has a radius of #3 # and a center of #(5 ,9 )#. Circle B has a radius of #4 # and a center of #(1 ,2 )#. If circle B is translated by #<3 ,-1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

##### 1 Answer

Feb 9, 2018

**circles do not overlap**

Minimum distance between circles A & B is

#### Explanation:

Center of circle B translated by

Sum of radii

New coordinates of

Hence the **circles do not overlap**

Minimum distance between circles A & B is