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An equilateral triangle ABC is inscribed in the circle. If

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An equilateral triangle ABC is inscribed in the circle. If [#permalink] New post 23 Apr 2011, 15:32
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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
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Re: Geometry [#permalink] New post 23 Apr 2011, 16:42
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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Re: Geometry [#permalink] New post 24 Apr 2011, 21:50
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, 21:50
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