a tickler: location of rope tethering goat in circular field

A

absolom

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Feb 9, 2009
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There is a goat tethered to the edge (the circumference) of a circular field. How long does it's rope need to be such that it can eat exactly one half of the grass in the field?
 
A slight improvement or simplification on Doctor Anthony's beautiful prescription might consist in setting r = 1 of the first circle; thus a unit circle.
 
Well....easier to put up a fence dividing the circular field in half,
and put the darn goat in one of the halves :idea:
 
To put up a fence one has to do a great deal of huffing, puffing, gathering and lifting of raw materials, measuring,
hand and machine sawing, ordinary hammering and sledgehammering. You might also have a need for an assistant.
Throw in a possible heatstroke and a heart attack if you're really, really lucky. Did you say easier?
 
He's just upset about the field being circular, it would have been an easier sum with a square field. This reminds me of another field question. A man has a square field and the Lord of the manor thinks knows he's amart and wants to reward him for getting a good crop that year. He offers him double the size of his field, but only if he can keep it square. The humble man thinks for a bit and then tells the don he'll have a right angled triangle on each side of his square field, thus doubling it's size.
 
jonah said:
To put up a fence one has to do a great deal of huffing, puffing, gathering and lifting of raw materials, measuring,
hand and machine sawing, ordinary hammering and sledgehammering. You might also have a need for an assistant.
Throw in a possible heatstroke and a heart attack if you're really, really lucky. Did you say easier?
Click to expand...

Now-a-day's there are invsible fences and shock collars ;)
 
jonah said:
To put up a fence one has to do a great deal of huffing, puffing,......
Click to expand...
Nope. Stretch ONE wire across the field, connect it to an electric pulsator...5 minute job.
I knowwwwwwww; was brought up on a farm!
 
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