Two circles have the following equations #(x +2 )^2+(y -5 )^2= 16 # and #(x +4 )^2+(y +1 )^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
Jan 19, 2018
Distance between the farthest points of the two circles is
Explanation:
Standard form of equation of a circle is
Where center coordinates (h,k), r the radius.
Circle 1
Circle 2
Distance between the centers
Since distance between centers greater than their radii, one circle does not contain the other.
Distance between the farthest points of the two circles is