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An equilateral triangle ABC is inscribed in the circle. If

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Senior Manager
Senior Manager
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Joined: 24 Mar 2011
Posts: 465
Location: Texas
Followers: 4

Kudos [?]: 78 [0], given: 20

An equilateral triangle ABC is inscribed in the circle. If [#permalink] New post 23 Apr 2011, 14:32
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

83% (03:30) correct 17% (01:09) wrong based on 18 sessions
An equilateral triangle ABC is inscribed in the circle. If the length of the arc ABC is 24, what is the approximate diameter of the circle.

A) 5
B) 8
C) 11
D) 15
E) 19
[Reveal] Spoiler: OA
Manager
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Joined: 14 Feb 2011
Posts: 197
Followers: 4

Kudos [?]: 74 [0], given: 3

Re: Geometry [#permalink] New post 23 Apr 2011, 15:42
Since ABC is an equilateral triangle, arc ABC is 2/3 of circumference, so circumference equals 24*3/2 = 36

\(\pi * Diameter = 36\) , so Diameter ~11
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Joined: 16 Nov 2010
Posts: 1680
Location: United States (IN)
Concentration: Strategy, Technology
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Kudos [?]: 345 [0], given: 36

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Re: Geometry [#permalink] New post 24 Apr 2011, 20:50
24/pi*D = 240/360 (Angle subtended by arc ABC = 240)

=> D = 36/pi = 36/3.14 ~ 11

Answer - C
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Re: Geometry   [#permalink] 24 Apr 2011, 20:50
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An equilateral triangle ABC is inscribed in the circle. If

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