Two circles have the following equations: #(x +6 )^2+(y -1 )^2= 49 # and #(x -9 )^2+(y +7 )^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
Sep 9, 2016
No, one circle does not contain the other. greatest distance = 33.
Explanation:
Circle A, centered at (-6,1) , r1=7
Circle B, centered at (9,-7), r2=9
dsitance between the two center points
As 17 is greater than the sum of the two radii (7+9=16), the two circles do not overlap.
greatest distance between a point on a circle and another point on the other = distance + r1 + r2
