Two circles have the following equations: #(x +6 )^2+(y -5 )^2= 64 # and #(x -2 )^2+(y +4 )^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
Circles intersect each other and greatest possible distance between a point on one circle and another point on the other is
Explanation:
Please refer to details here.
The center of circle
The distance between centers is
=
Let the radii of two circles is
Then as
graph{(x^2+y^2+12x-10y-3)(x^2+y^2-4x+8y-61)=0 [-40, 40, -20, 20]}