Two circles have the following equations #(x +3 )^2+(y -6 )^2= 64 # and #(x +7 )^2+(y +2 )^2= 9 #. 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
Sep 29, 2017
The circles overlap
Explanation:
Let the circles be
Let the radius of the circles be
Let the distance between the centers be
The circles overlap, i.e,
Here, we have
The circles overlap
graph{((x+3)^2+(y-6)^2-64)((x+7)^2+(y+2)^2-9)=0 [-32.46, 32.47, -16.23, 16.25]}