# 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?

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Feb 9, 2018

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**Circles Overlap**

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Given :

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Sum of Radii

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

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