SOLUTION: Hello, for my artificial intelligence I'm programming I need to figure out a location thats called by a math formula I just can't find. I realise this is something hard to ask and

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Question 878585: Hello, for my artificial intelligence I'm programming I need to figure out a location thats called by a math formula I just can't find.
I realise this is something hard to ask and I hope someone can solve it since even my math tutor can't.
There's ttwo circles and 1 point located in a coordinate system
For the sake of explaining the problem, let's callthem circle A,B and point C
We can assume that:
-circle A's radius is always bigger than B
-there will never be 2 of the points at the exact same location
-the radius for A and B are variables
Now I need to calculate the point where A has to placed so that:
- the middle of circle B is in the circle of A
- the middle of circle A is NOT in the circle of B
- I need the point that's as far away as possible from point C
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
Your explanation is confusing, here's what I've got so far.
You're given two radii: and , which can be variables.
Circles A and B cannot overlap. I think that's what you mean by "middle".
I'm guessing you're given the location of circle A's center.
Then you have to calculate a possible location for circle B's center.
That's straightforward. You can find a zone to place circle B's center so that it doesn't overlap circle A.
Now what is the relationship between point C and the centers of the two circles. Does the center of B have to be the maximum distance from point C?
So you're given the coordinates of circle A center(,), circle A radius, circle B radius, coordinates of C(,),, and you have to find the maximum distance from the center of circle B to point C within some bounded plane?