Two circles have the following equations #(x -1 )^2+(y -2 )^2= 64 # and #(x +7 )^2+(y -4 )^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
Jan 19, 2018
Greatest possible distance between a point on one circle and another point on the other is
Explanation:
Circle 1
Circle 2
Distance between centers
Since D is greater than both the radii but less than #(r_1 + r_2), one circle doesn’t contain the other but they overlap.
Greatest possible distance between a point on one circle and another point on the other is