# Circle A has a center at #(1 ,7 )# and a radius of #3 #. Circle B has a center at #(-3 ,-2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?

##### 1 Answer

Feb 2, 2016

they don't overlap. the smallest distance is 4.85

#### Explanation:

if the circles overlap,

the distance between the centers will be the sum of the two radius.

the distance between the two centers are,

but the sum of the two circles are,

so, the circles don't overlap,

the smallest distance between the circles is,