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# tunnel entrance

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Director
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tunnel entrance [#permalink]

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21 Jun 2009, 02:45
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The figure above shows the shape of a tunnel entrance. If the curved portion is of a circle and the base of the entrance is 12 feet across, what is the perimeter, in feet, of the curved portion of the entrance'?

(A) 9π

(B) 12π

(C) 9 pie root2

(D) 18π

(E) 9 pie/root2
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Director
Joined: 03 Jun 2009
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Location: New Delhi
WE 1: 5.5 yrs in IT
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Kudos [?]: 765 [0], given: 56

Re: tunnel entrance [#permalink]

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22 Jun 2009, 01:14
Its just like, we have been provided with the length of chord and have been asked to find circumference of the circle. I think, there is something missing in this query
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Re: tunnel entrance [#permalink]

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22 Jun 2009, 13:53
If you say that the base forms a right angle with the center of the circle, you can use pythagoreans theorm and get x^2 + x^2 = 12^2 - and from this you can get r=6 root of 2. Using c=2 pi r you can assume that the triangle takes up i/4 of the circle and multiply the circumference times 3/4 you get 9 pi root of 2 as the answer. This is assuming a lot from this problem, it needs to tell more.
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Re: tunnel entrance [#permalink]

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22 Jun 2009, 14:04
benpack03 wrote:
If you say that the base forms a right angle with the center of the circle, you can use pythagoreans theorm and get x^2 + x^2 = 12^2 - and from this you can get r=6 root of 2. Using c=2 pi r you can assume that the triangle takes up i/4 of the circle and multiply the circumference times 3/4 you get 9 pi root of 2 as the answer. This is assuming a lot from this problem, it needs to tell more.

The problem statement must be little more informative.
Director
Joined: 03 Jun 2009
Posts: 799
Location: New Delhi
WE 1: 5.5 yrs in IT
Followers: 84

Kudos [?]: 765 [0], given: 56

Re: tunnel entrance [#permalink]

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22 Jun 2009, 20:50
I just searched on the net, and the correct problem is something like this

Quote:
The figure above shows the shape of a tunnel entrance. If the curved portion is 3/4 of a circle and the base of the entrance is 12 feet across, what is the perimeter, in feet, of the curved portion of the entrance'?

so, you know, this 3/4 was missing in the actual question.
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Re: tunnel entrance   [#permalink] 22 Jun 2009, 20:50
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# tunnel entrance

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