Circle A has a center at (3,2) and a radius of 2. Circle B has a center at (1,3) and a radius of 4. Do the circles overlap? If not, what is the smallest distance between them?
1 Answer
Mar 8, 2016
circles overlap
Explanation:
First step is to find the distance between the centres using the
distance formula
d=√(x2−x1)2+(y2−y1)2 where
(x1,y1) and (x2,y2) are the coords of 2 points let
(x1,y1)=(3,2) and (x2,y2)=(1,3)
d=√(1−3)2+(3−2)2=√4+1=√5≈2.236 radius of A + radius of B = 2 + 4 = 6
since 6 > 2.236 , circles will overlap