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PS Circle and Equilateral Triangle

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PS Circle and Equilateral Triangle [#permalink]

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New post 11 Dec 2005, 04:47
00:00
A
B
C
D
E

Difficulty:

(N/A)

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0% (00:00) correct 0% (00:00) wrong based on 1 sessions

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Answers are

A: Pi(r)/6
B. Pi(r)/3
C. Pi(r)/2
D. Pi(r)
E. None of these
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Director
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New post 11 Dec 2005, 04:56
POQ is 60 degree, and so its length should be (1/6)*pi*r

(A)
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Auge um Auge, Zahn um Zahn :twisted: !

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 [#permalink]

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New post 11 Dec 2005, 05:04
gamjatang wrote:
POQ is 60 degree, and so its length should be (1/6)*pi*r

(A)


That was my guess too, but we are both wrong.
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New post 11 Dec 2005, 05:13
gamjatang wrote:
POQ is 60 degree, and so its length should be (1/6)*pi*r

(A)


POQ= 60 => PQ= 60/360 * the perimeter of the circle= 1/6 * 2pi*r
=1/3 pi*r

BTW, Matt, there're some typos in the question AB should be diameter, not radius, right?!
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New post 11 Dec 2005, 05:28
Thanx Laxie. OA is (B). Drawing two additional support lines OP and OQ really simplify this problem. Three equilateral triangles give us an interior angle of 60dg. 60=1/6 or the circum. 1/6*2pi(r)= pi(r)/3
  [#permalink] 11 Dec 2005, 05:28
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PS Circle and Equilateral Triangle

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