Question

Circles A and B have the following equations `(x -4 )^2+(y -8 )^2= 25` and `(x +4 )^2+(y -1 )^2= 49`. What is the greatest possible distance between a point on circle A and another point on circle B?

Answer 1

`5+sqrt113+7=22.63`

Explanation:

distance between circle A center and circle B center = `sqrt(8^2+7^2)=sqrt113`
So the greatest possiible distance between a point on circle A and a point on circle B should be the straight line passing through the centers points of these two circles `= 5+sqrt113+7 = 22.63`