My Math Forum Grass circle and cow problem.

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 May 19th, 2010, 04:26 PM #1 Newbie   Joined: May 2010 Posts: 2 Thanks: 0 Grass circle and cow problem. Hi, I was given a tricky question I have no idea what the formula is. Heres the premise. Say you have a circular field of grass and a cow that eats grass, if you were to tie the cow on a rope at any point of the perimeter of the field, how long would the rope have to be for the cow to be able to eat exactly half of the grass from the entire circle? Lets use a field diameter of 10 for example... Any ideas? Thanks!!! Heres what I mean: Free Image Hosting by ImageBam.com
 May 19th, 2010, 05:51 PM #2 Senior Member   Joined: Apr 2008 Posts: 435 Thanks: 0 Re: Grass circle and cow problem. Do you have the benefit of calculus as a tool? Or must we be witty in our deduction?
 May 19th, 2010, 06:27 PM #3 Newbie   Joined: May 2010 Posts: 2 Thanks: 0 Re: Grass circle and cow problem. Ummmm I'm just looking for an answer, or formula that works... Has to do with an area of a circle cutting into an area of a cricle, but then the circle is like a half moon kinda deal, not a straight cut in half, how do you get the area of that? Confusiiiiiinnnng lol
 May 21st, 2010, 05:36 AM #4 Senior Member   Joined: Apr 2008 Posts: 435 Thanks: 0 Re: Grass circle and cow problem. Well, this is what I'm asking. One can generate a formula if you know calculus. If you don't, then the formula won't really do you any good. And I don't immediately see a different method.

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