Article View: aus.mathematics
Article #11468BEST FITTING PEGS?
From: Mountain Man
Date: Fri, 23 Feb 1996 00:00
Date: Fri, 23 Feb 1996 00:00
32 lines
1665 bytes
1665 bytes
L.Mar@mailbox.uq.oz.au (Jess Mar) wrote:
>Can anyone suggest various ways of making the comparison of which fits
>better - a square peg in a round hole, or a round peg in a square
>hole?
OK - Here's a guess ...
(1) Square peg in round hole: Draw a square in a circle of radius R.
The "unused or wasted" space is R^2(pi - 2)
(2) Round peg in square hole: Draw a circle in a square of side 2R.
The "unused or wasted" space is R^2(4 - pi)
The only problem with this solution is that I have *not* been arbitary
in choosing the relative dimensions of the initial square and circular
"containers" .......
Oh dear ...
Any comments??????????????????????????
Pete Brown
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 10d67e,c5ef890f2dc0aaae X-Google-Attributes: gid10d67e,public From: Mountain Man <prfbrown@magna.com.au> Subject: BEST FITTING PEGS? Date: 1996/02/23 Message-ID: <4gjf4e$59d@kettle.magna.com.au> X-Deja-AN: 140663116 references: <312bff0e.172558@dingo.cc.uq.oz.au> to: prfbrown@magna.com.au content-type: text/plain; charset=us-ascii organization: Mountain Man Graphics, Australia mime-version: 1.0 newsgroups: aus.mathematics x-mailer: Mozilla 1.22 (Windows; I; 16bit)