Two circles have the following equations: #(x +3 )^2+(y -5 )^2= 64 # and #(x -7 )^2+(y +2 )^2= 81 #. 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
Mar 21, 2017
The circles overlap and the greatest distance is
Explanation:
The centers of the circle are
The distance between the centers is
The radii of the circles are
The sum of the radii
As the distance between the radii is
The greatest disnce is
graph{((x+3)^2+(y-5)^2-64)((x-7)^2+(y+2)^2-81)=0 [-28.85, 28.87, -14.43, 14.45]}