# Circle A has a radius of #2 # and a center of #(1 ,7 )#. Circle B has a radius of #2 # and a center of #(8 ,1 )#. If circle B is translated by #<-4 ,3 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

##### 1 Answer

Sep 3, 2016

Circle A has a radius of 2 and a center of (1,7)

Circle B has a radius of 2 and a center of (8,1)

if circle B is translated by <-4,3>, the center will be (4,4)

#### Explanation:

distance bewteen circle A (1,7) and circle B (4,4) from center to center is

As circle A and Circle B each has a radius of 2, they do not overlap each other because 4.24 is greater than 2+2 =4 (the sum of the two radii)

the minimum distance between circle A and circle B is