Circle A has a center at #(1 ,5 )# and a radius of #3 #. Circle B has a center at #(4 ,-2 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?
1 Answer
Feb 4, 2016
The 2 circles overlap.
Explanation:
The key to the problem is this: If the distance between the centers of the 2 circles is greater than the sum of the 2 radii, then the 2 circles do not overlap.
The distance between the centers of the 2 circles can be found using the Pythagoras Theorem.
The 2 circles overlap.
