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

##### 1 Answer

Feb 9, 2018

Circles A and B overlap.

#### Explanation:

Circle A -

Circle A -

Circle B translated by (2,4)

New center of B

Sum of radii

Since