From: "Christopher R. Carlen"
Subject: Re: Complex number quiz
Date: Tue, 10 Sep 2002 20:16:50 -0700
Organization: Sandia National Laboratories, Albuquerque, NM USA
References: <3D7B8D10.5070603@BOGUS.earthlink.net> <3D7CFD55.email@example.com> <6p3f9.201882$8aG1.firstname.lastname@example.org> <3D7D6CF1.email@example.com> <firstname.lastname@example.org>
NNTP-Posting-Date: Tue, 10 Sep 2002 22:36:05 +0000 (UTC)
User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.0.0) Gecko/20020529
X-Accept-Language: en-us, en
Frank Bemelman wrote:
> "markp" schreef in bericht
>>If you want to while away a few more hours, how about this one:
> A real nasty one, looks simple:
> A square. Draw a quarter cirle, radius = size of square, from each
> corner of the square. This figure looks like a square with a simple
> flower inside it. The heart of this flower has a cushion shape.
> Calculate the area this part occupies. Subtract pi/10 (one-tenth-pi).
> What went wrong ???
> Frank Bemelman
> (remove 'x' & .invalid when sending email)
If r is the length of a side of the square, and consequently the radius
of the quarter circles inscribed within and centered on each corner,
then I get for the area of the cushion:
So if r=1 then A=1-sqrt(3)+pi/3=0.315147
What's the deal with subtracting pi/10?
Christopher R. Carlen
Principal Laser/Optical Technologist
Sandia National Laboratories CA USA