Two circles have the following equations #(x -2 )^2+(y -4 )^2= 36 # and #(x +8 )^2+(y +3 )^2= 49 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
1 Answer
Jul 12, 2017
The circles overlap and the greatest distance is
Explanation:
The center of circle
The center of circle
The distance between the centers is
The sum of the radii is
As,
The greatest distance is
graph{((x-2)^2+(y-4)^2-36)((x+8)^2+(y+3)^2-49)(y-4-7/10(x-2))=0 [-32.49, 32.46, -16.24, 16.25]}