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Find two points

  1. Nov 15, 2009 #1
    hi everyone !

    we have two circles that does'nt have intersections now we want to find a point on each circle that the distance of this two points are 'k' please help me . . .
  2. jcsd
  3. Nov 15, 2009 #2


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    welcome to pf!

    hi mamali! welcome to pf! :wink:

    Is this an old-fashioned Euclidean geometry question, or are we allowed to use Cartesian (x and y) coordinates?

    Either way, you have to do some of the work yourself …

    show us what you've tried. :smile:
  4. Nov 15, 2009 #3


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    Let the radii of the two circles be [itex]r_1[/itex] and [itex]r_2[/itex] and the distance between the centers be R. Then there cannot be a point on one circle and a point on the other so that the distances between the points is less than [itex]R- (r_1+ r_2)[/itex] nor greater than [itex]R+ (r_1+ r_2)[/itex]. Do you see why? For distances between those numbers, as tiny-tim says, we would have to see how you would approach this problem yourself so we can know what kinds of hints will help.
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