Circle A has a center at #(1 ,-2 )# and a radius of #3 #. Circle B has a center at #(-2 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?
1 Answer
Apr 24, 2018
Explanation:
Let
Let
Then if:
We find the distance between centres using the distance formula:
We have:
Radius of
Radius of
Sum of radii:
The circles do not touch.
The shortest distance between the circles is:
See diagram: