Question

Circle A has a center at `(3 ,-1 )` and a radius of `3`. Circle B has a center at `(-2 ,-4 )` and a radius of `7`. Do the circles overlap? If not, what is the smallest distance between them?

Answer 1

Circles overlap each other

Explanation:

Distance between two centers `(3,−1)` and `(−2,−4)` is given by

`sqrt((-4-(-1))^2+(-2-3)^2)` or `sqrt(3^2+5^2` or `sqrt34=5.831`.

As sum of the radii of two circles is `3+7=10` and is greater than `5.831` which id distance between their centers, circles overlap each other.