Circles A and B have the following equations #(x -4 )^2+(y +3 )^2= 9 # and #(x +4 )^2+(y -1 )^2= 16 #. What is the greatest possible distance between a point on circle A and another point on circle B?
1 Answer
Jun 20, 2017
The greatest distance is
Explanation:
The center of the first circle is
The center of the second circle is
The distance between the centers of the circles is
This distance is
So, the circles do not overlap.
The greatest distance is located on the line joining the centers of the circles and cutting the circumferences.
The distance is
graph{((x-4)^2+(y+3)^2-9)((x+4)^2+(y-1)^2-16)((y-1)+1/2(x+4))=0 [-11.44, 11.06, -6.48, 4.77]}