Two circles have the following equations: #(x +2 )^2+(y -1 )^2= 49 # and #(x +4 )^2+(y +7 )^2= 25 #. 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
Aug 11, 2017
The circles overlap and the greatest distance is
Explanation:
The radius of the circles are
The sum of the radii is
The centers of the circles are
The distance between the centers is
As,
The greatest distance is