# Circle A has a radius of #3 # and a center of #(2 ,7 )#. Circle B has a radius of #4 # and a center of #(7 ,5 )#. If circle B is translated by #<-1 ,1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

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Feb 9, 2018

#### Answer:

**Circles overlap** .

Minimum distance between the circles is

#### Explanation:

Given :

Therefore, new coordinates of

Distance between A and new B

Circles overlap if

**Since #d < R_A + R_B#, circles overlap**

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