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A simple circle question

  1. May 3, 2006 #1
    Hi guys,

    I found this little problem on some website ages go, and was just wondering what you think of it:


    Anyone have any ideas?
  2. jcsd
  3. May 3, 2006 #2


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    |OA| = R (since OA is a radius of the big circle)
    |OA| = |OM| + |MA| (just look at it)
    |MA| = r (since AM is a radius of the small circle)
    r² + r² = |OM|² (pythagorean theorem)
  4. May 4, 2006 #3
    interesting, i was thinking that: Line OM + r = R

    would that work?
  5. May 4, 2006 #4
    That's what you get when you put AKG's first three lines together into a single equation. Now put that together with the fourth line, and you've got it
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