The Cyber-Spy.Com Usenet Archive Feeds Directly
From The Open And Publicly Available Newsgroup
This Group And Thousands Of Others Are Available
On Most IS NNTP News Servers On Port 119.
Cyber-Spy.Com Is NOT Responsible For Any Topic,
Opinions Or Content Posted To This Or Any Other
Newsgroup. This Web Archive Of The Newsgroup And
Posts Are For Informational Purposes Only.
From: Fred Bloggs
X-Mailer: Mozilla 4.7 [en]C-CCK-MCD EBM-Compaq1 (Win95; U)
Subject: Re: Complex number quiz
References: <3D7B8D10.5070603@BOGUS.earthlink.net> <3D7CFD55.email@example.com> <6p3f9.201882$8aG1.firstname.lastname@example.org> <3D7D6CF1.email@example.com> <3D7DBD37.27C9BDEC@ipricot.com>
Date: Tue, 10 Sep 2002 16:54:50 GMT
NNTP-Posting-Date: Tue, 10 Sep 2002 09:54:50 PDT
Organization: EarthLink Inc. -- http://www.EarthLink.net
Nicolas Matringe wrote:
> markp wrote:
> > If you want to while away a few more hours, how about this one:
> > A square field 50m x 50m has a cow in it. The cow is tethered to a
> > rope that is fixed exactly half way down one side of the field.
> > The rope is just long enough for the cow to eat exactly half the
> > grass in the field. How long's the rope?
> Another one now (I have never found the answer, even on the internet ;o)
> It's exwactly the same problem except that the field is circular and 50m in
> diameter. How long is the rope?
About 35.25 meters or so with a hand calculator zero-solving. There is
nothing profound here. You add up some arc areas and one triangle area
and you end up with an equation of the form:
8( x^2+0.25-x*sin(theta))+ psi/2-4*x*sin(theta)=pi
where cos(theta)=x and cos(psi)=1-2*x^2
and x=R/D where R=length of rope and D= diameter of circle.
Solve for x.
I may have made mistake but this is essentially it.
Go Back To The Cyber-Spy.Com
Usenet Web Archive Index Of
The sci.electronics.design Newsgroup