Two circles have the following equations #(x +5 )^2+(y +6 )^2= 36 # and #(x +2 )^2+(y -1 )^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
Smaller circle is not contained in larger circle and they intersect each other. The greatest possible distance between a point on one circle and another point on the other will be
Explanation:
First circle has center as
Distance between circles of two centers is
As the distance between two circles at
The greatest possible distance between a point on one circle and another point on the other will be