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PS - Word Translation

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mrsmarthi
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 Q49  V29
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PS - Word Translation [#permalink] New post   18 Dec 2008, 12:24
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Four horses are tethered at 4 corners of a square field of side 70 ft so that they just cannot reach one another. The area left ungrazed by the horses is:

A. 1050 sq.ft
B. 3850 sq. ft
C. 950 sq. ft
D. 1075 sq.ft
E. 1200 sq. ft



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Re: PS - Word Translation [#permalink] New post   18 Dec 2008, 14:01
Im getting A, if the square is 70 then the horses will each be tied with 35 feet. This creates a quarter of a circle with a radius of 35, so multiply 3.14* 35^2 to get 3846.5 which is the area grazed and just subtract that from the total area, giving you approx 1054 (account for some of the digits from pi and i get A).
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Re: PS - Word Translation [#permalink] New post   18 Dec 2008, 14:10
GoPanthers wrote:
Im getting A, if the square is 70 then the horses will each be tied with 35 feet. This creates a quarter of a circle with a radius of 35, so multiply 3.14* 35^2 to get 3846.5 which is the area grazed and just subtract that from the total area, giving you approx 1054 (account for some of the digits from pi and i get A).


You got it. But here is a different angle of solving the problem.

Instead of substituting Pi as 3.14, leave it as 22/7. This will make the calculation easy and accurate. Give a try.

Depending on the choices provided, we might need to decide with Pi should be lconsidered as Pi or 22/7 or 3.14.
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Re: PS - Word Translation [#permalink] New post   19 Dec 2008, 03:19
mrsmarthi wrote:
Four horses are tethered at 4 corners of a square field of side 70 ft so that they just cannot reach one another. The area left ungrazed by the horses is:

A. 1050 sq.ft
B. 3850 sq. ft
C. 950 sq. ft
D. 1075 sq.ft
E. 1200 sq. ft


Gopanther can u please explain it more clearly, i am still not able to get it...
I mean if the question says the horses are tethered at 4 corners of side 70 feet
then how did u get 35......
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Re: PS - Word Translation [#permalink] New post   19 Dec 2008, 07:17
"so that they just cannot reach one another"
I take this to mean that the tether plus their reach would be slightly less than half the length of the field(or else they could touch each other if they walked along the side of the field).



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Re: PS - Word Translation [#permalink]
19 Dec 2008, 07:17
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