Question

Circle A has a center at `(5 ,3 )` and a radius of `1`. Circle B has a center at `(0 ,-5 )` and a radius of `2`. Do the circles overlap? If not, what is the smallest distance between them?

Answer 1

Circles do not overlap each other. The smallest distance between the circles is `6.434`.

Explanation:

Distance between two centers `(5,3)` and `(0,−5)` is given by

`sqrt((-5-3)^2+(0-5)^2)` or `sqrt(8^2+5^2` or `sqrt89=9.434`.

As sum of the radii of two circles is `1+2=3` and is less than `9.434` which is distance between their centers, circles do not overlap each other.

The smallest distance between the circles is `9.434-3=6.434`.