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 Cutting Corners (Posted on 2003-11-20)
Suppose you have a circle that is perfectly inscribed in a rectangle.
A smaller rectangle is placed on top of the first one, such that one corner is on the edge of the circle and the opposite corner matches a corner of the larger rectangle.

If the smaller rectangle is twice as long as it is high, how many of them will fit into of the larger one (without overlapping, of course)?

 See The Solution Submitted by DJ Rating: 3.6364 (11 votes)

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 please clarify | Comment 1 of 16
I don't understand what "a circle that is perfectly inscribed in a rectangle" means.

Does this mean it is completely inside the rectangle , is tangent to three of the sides, and has diameter equal to the shorter of the rectangle's two sides?

Also, what does "A smaller rectangle is placed on top of the first one" mean? What is the "edge of the circle"?

A picture would really help!

--- SK
 Posted by SilverKnight on 2003-11-20 15:09:31

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