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=(x2x1)2+(y2y1)2

where(x1,y1) and (x2,y2) are the coords of 2 points

let(x1,y1)=(3,2) and (x2,y2)=(1,3)

d=(13)2+(32)2=4+1=52.236

radius of A + radius of B = 2 + 4 = 6

since 6 > 2.236 , circles will overlap