# Circle A has a center at (3 ,7 ) and a radius of 1 . Circle B has a center at (1 ,3 ) and a radius of 6 . Do the circles overlap? If not, what is the smallest distance between them?

Distance center to center $= 2 \sqrt{5} \cong 4.47$
Smallest distance between them $= 6 - 2 \sqrt{5} - 1 = 5 - 2 \sqrt{5} = 0.527864045 \text{ }$
$= 6 - 2 \sqrt{5} - 1 = 5 - 2 \sqrt{5} = 0.527864045 \text{ }$