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Assume I would have four goats, two male and two female,

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allabout
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Assume I would have four goats, two male and two female, [#permalink] New post   26 Jan 2006, 05:23
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Assume I would have four goats, two male and two female, fenced in a circular 154 m² area around a graceful tiny cherry tree with circumference of 44 cm. Neither the two female goats nor the two male goats can graze in harmony with each other, that’s why I tie each of them with a line of length L (the same length for each goat) at the fence. How long can the respective line L of a goat be in order to ensure that the goat cannot reach the graceful tree, but has a maximum area to graze on?

(The head and neck together of each goat is 25 cm long :wink: )



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Re: Assume I would have four goats, two male and two female, [#permalink] New post   26 Jan 2006, 11:36
allabout :wink: i am just curious where did you get those questions)))
Real headache for me))Thanks a lot!
Go allabout Go!!! :writer :wave you rule))
BTW I won't do this problem if come across on real exam!too complicated for me!My answer is C just because it is my favourite blind shot choice!
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Re: Assume I would have four goats, two male and two female, [#permalink] New post   26 Jan 2006, 11:58
This one is too strange to be created by some proffessional staff...hope it's not formulated too unclear.

However it isn't that complicated, just try and you'll see that it is fairly straightforward.
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Re: Assume I would have four goats, two male and two female, [#permalink] New post   26 Jan 2006, 12:09
Is there answer choices?

My expln:
Radius of the circle
pi*r^2 = 154
r = sqrt(154 / pi)

rad of the tree
2*pi*r = 44
r = 22/pi

Length of head and neck = 25.

So L = sqrt(154 / pi) - 22/pi - 25

Or do we have to consider whether with this L goats can reach each other or not because they care not in harmony???
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Re: Assume I would have four goats, two male and two female, [#permalink] New post   26 Jan 2006, 12:16
Radius of the fence= 700cm
Radius of the tree= 7 cm
"Radius" of the neck+head= 25cm

Answer should be 668 cm
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Re: Assume I would have four goats, two male and two female, [#permalink] New post   26 Jan 2006, 12:30
Yep, it's 668 cm

@ nayan

- approximate PI with 22/7
- take care of units given

and your choice fits



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Re: Assume I would have four goats, two male and two female, [#permalink]
26 Jan 2006, 12:30
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