# Circle A has a center at #(2 ,3 )# and a radius of #5 #. Circle B has a center at #(3 ,8 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them?

##### 1 Answer

Feb 4, 2016

If the two circles *touched* at a **single point** , then the distance between the centers would be

#### Explanation:

Using the distance formula, the **actual distance** between the two centers is:

Since the distance **overlap** !

Hope that helped