SOLUTION: The problem is to find the length of a tether required to allow a goat to eat half the grass when tethered to the edge of a circular field. An analytical solution would be great.

Question 162245: The problem is to find the length of a tether required to allow a goat to eat half the grass when tethered to the edge of a circular field. An analytical solution would be great.
When I was young I came across this problem and have never found a solution, I am now over sixty and what little knowledge I had of maths is fading. I would love to find a solution before I am too old to care!
Many thanks David
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The problem is to find the length of a tether required to allow a goat to eat half the grass when tethered to the edge of a circular field. An analytical solution would be great.
When I was young I came across this problem and have never found a solution, I am now over sixty and what little knowledge I had of maths is fading. I would love to find a solution before I am too old to care!
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Ooooh, interesting problem. I'll work on it. email me at gsihoutx@aol.com
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