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# An equilateral triangle ABC is inscribed in the circle. If

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Senior Manager
Joined: 24 Mar 2011
Posts: 459
Location: Texas
Followers: 4

Kudos [?]: 95 [0], given: 20

An equilateral triangle ABC is inscribed in the circle. If [#permalink]  23 Apr 2011, 14:32
00:00

Difficulty:

55% (hard)

Question Stats:

71% (03:29) correct 29% (01:08) wrong based on 24 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
Joined: 14 Feb 2011
Posts: 196
Followers: 4

Kudos [?]: 85 [0], given: 3

Re: Geometry [#permalink]  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
SVP
Joined: 16 Nov 2010
Posts: 1676
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 383 [0], given: 36

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

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

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Re: Geometry   [#permalink] 24 Apr 2011, 20:50
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