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Article #2607

Two Circles Puzzle

#2607
From: Dan Bergmann
Date: Wed, 27 Jan 1993 18:07
32 lines
1706 bytes
I'm new to this newsgroup, so I hope this hasn't been asked before (it
wasn't in the FAQ).

This question was asked on an SAT test about a dozen years ago.

Two circles are next to each other and touching at one point (one is NOT
inside the other). The larger circle has twice the radius of the smaller
circle. The smaller circle rolls around the large one until it comes back
to its original starting position. How many revolutions does it make about
its center?

The testing service got the problem wrong, some kid in Florida complained
that he got it right but was not given credit, and the story made it into
the newspapers.

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**             							       **
**  Dan Bergmann                             (510) 423-6765            **
**  mail stop L-262						       **
**  Lawrence Livermore National Lab          dbergmann@llnl.gov        **
**  Livermore, CA    94550                                             **
**               						       **
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From: dan@danberg.llnl.gov (Dan Bergmann)
Newsgroups: rec.puzzles
Subject: Two Circles Puzzle
Keywords: geometry
Message-ID: <C1IyDB.2K5@fastrac.llnl.gov>
Date: 27 Jan 93 18:07:59 GMT
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Organization: Lawrence Livermore National Laboratory
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