Two circles have the following equations #(x +5 )^2+(y +3 )^2= 9 # and #(x +4 )^2+(y -1 )^2= 1 #. 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
No overlap of the circles. Greatest distance
Explanation:
Circle A, center (-5,-3),
Circle B, center (-4,1),
Now compare the distance
1) If the sum of the radii
2) If the sum of the radii
3)If the difference of the radii
To calculate
where
here the two points are
let
Sum of radii = radius of A + radius of B
Since sum of radius
greatest distance :