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# A dog is tied to a tree by a long nylon cord. If the

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Senior Manager
Joined: 21 Oct 2013
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A dog is tied to a tree by a long nylon cord. If the [#permalink]

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25 Mar 2014, 07:47
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Question Stats:

58% (00:54) correct 42% (00:49) wrong based on 137 sessions

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A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord, in feet?

A) 30
B) 25
C) 15
D) 10
E) 5
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Senior Manager
Status: busyness school student
Joined: 09 Sep 2013
Posts: 419
Location: United States
Schools: Tepper '16 (M)
GMAT 1: 730 Q52 V37
Re: A dog is tied to a tree by a long nylon cord. If the [#permalink]

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25 Mar 2014, 07:54
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Because the cord was extended to its full length at all items, the dog ran along a semi-circular path, from north to south.

The circumference of a full circle is 2*pi*r, but since we only care about the length of half the circle, the semi-circle path is pi*r.

pi*r = 30. Round pi = 3, then r = 10.

Chord is about 10 feet long.
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Re: A dog is tied to a tree by a long nylon cord. If the [#permalink]

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12 May 2017, 13:45
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Re: A dog is tied to a tree by a long nylon cord. If the [#permalink]

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15 May 2017, 23:53
the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all times. This means that dog ran in semi - circle or 180 degree sector is create.

We know that length of arc = ($$\frac{central angle}{360}$$ ) * 2* PI * r
therefore, = $$\frac{180}{360}$$* 2* PI * r = 30

=> PI * r = 30
3.142 * r = 30

r= 10 (approx)
Re: A dog is tied to a tree by a long nylon cord. If the   [#permalink] 15 May 2017, 23:53
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