Question

Circle A has a center at `(9 ,-2 )` and a radius of `1`. Circle B has a center at `(1 ,3 )` and a radius of `4`. Do the circles overlap? If not, what is the smallest distance between them?

Answer 1

Circles don’t overlap. Smallest distance between the circles is 4.434

Explanation:

Distance between the centers`=sqrt((1-9)^2+(3+2)^2)`
`=sqrt(64+25)=sqrt89=9.434`
Since centers distance 9.434 > 5 (r1+r2), circles do not overlap.
Smallest distance between the circles is 9.434-5= 4.434