Two circles have the following equations #(x -1 )^2+(y -6 )^2= 64 # and #(x +7 )^2+(y +2 )^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
Oct 16, 2016
One does not contain the other.
The greatest distance possible is
Explanation:
The radius of the first circle is 8
The radius of second circle is 3
The center of the first circle is
The center of the second circle is
The distance, d, between their centers is:
This is greater than the sum of their radii so they do not touch.