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?

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?

1 Answer

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Answer 1 · 2016-08-29T03:00:46

$5+sqrt113+7=22.63$

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 $= 5+sqrt113+7 = 22.63$

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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?

1 Answer

Explanation:

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Humanities

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Circles A and B have the following equations (x -4 )^2+(y -8 )^2= 25 (x -4 )^2+(y -8 )^2= 25 and (x +4 )^2+(y -1 )^2= 49 (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?

1 Answer

Explanation:

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Impact of this 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?