Question

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?

Answer 1

If the two circles touched at a single point , then the distance between the centers would be `5+1=6` and the distance between the circles would be zero.

Explanation:

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

`sqrt[(8-3)^2+(3-2)^2]=sqrt26~~5.1`

Since the distance `5.1<6`, the two circles must overlap !

Hope that helped