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

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Director
Joined: 17 Dec 2005
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Location: Germany
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Assume I would have four goats, two male and two female, [#permalink]

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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 mÂ² 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, thatâ€™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 )
Director
Joined: 10 Oct 2005
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26 Jan 2006, 11:36
allabout i am just curious where did you get those questions)))
Real headache for me))Thanks a lot!
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!
_________________

IE IMBA 2010

Director
Joined: 17 Dec 2005
Posts: 547
Location: Germany
Followers: 1

Kudos [?]: 40 [0], given: 0

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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.
Manager
Joined: 04 Jan 2006
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26 Jan 2006, 12:09

My expln:
pi*r^2 = 154
r = sqrt(154 / pi)

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???
Senior Manager
Joined: 19 Feb 2005
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26 Jan 2006, 12:16
Radius of the tree= 7 cm

Director
Joined: 17 Dec 2005
Posts: 547
Location: Germany
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Kudos [?]: 40 [0], given: 0

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26 Jan 2006, 12:30
Yep, it's 668 cm

@ nayan

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

26 Jan 2006, 12:30
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