Two circles have the following equations: #(x -1 )^2+(y -4 )^2= 9 # and #(x +6 )^2+(y +9 )^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 30, 2017
The two circles are external one another and the greatest possible distance is
Explanation:
The first circle (A) have the centre in Xca=1 nd Yca=4, and its radius is 3.
the second circle (B) has the centre in Xcb=-6 and Ycb=-9. Its radius is 5.
the distance between the centres is:
the sum of the radii is 3+5 =8 <
The two circles are external one another and the greatest possible distance is