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Triangle Inscribed in a circle

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Manager
Joined: 01 Jun 2006
Posts: 77
Triangle Inscribed in a circle [#permalink]

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14 Dec 2006, 06:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Q) Can any one explain this in some detail...
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Director
Joined: 28 Dec 2005
Posts: 919

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14 Dec 2006, 06:30
The answer should be 11. The angle if o is the center of angle AOC = 120 degrees.

(360-120)/360*d*pi = 24
approximating pi as 3, we get about 12 or 11.
Senior Manager
Joined: 08 Jun 2006
Posts: 335
Location: Washington DC

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14 Dec 2006, 07:09
Getting 11 too
Actual value is 16/sqrt(3)
Manager
Joined: 18 Nov 2006
Posts: 123

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15 Dec 2006, 12:20
equilateral Trngle -> angle A =60 -> angle at the center(angle AOC) =2*inscribed angle =2*60=120 ..this is a theorem ..u can just remember it.

now, 360-120= 240 angle correspondes to 24, length of the given arc.
the circumference is Pi*d=3.14*d corres. to 360 degree that is 36 length.

-> d= 36/Pi=36/3.14 = slightly less than 12..that will be 11 from the answer choices..
15 Dec 2006, 12:20
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