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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: 447
Location: Texas
An equilateral triangle ABC is inscribed in the circle. If [#permalink]

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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
[Reveal] Spoiler: OA
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Joined: 14 Feb 2011
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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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24 Apr 2011, 21:50
24/pi*D = 240/360 (Angle subtended by arc ABC = 240)

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

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Re: An equilateral triangle ABC is inscribed in the circle. If [#permalink]

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20 Aug 2016, 02:47
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Re: An equilateral triangle ABC is inscribed in the circle. If [#permalink]

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01 Oct 2016, 21:05
agdimple333 wrote:
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

Ans C ..plz follow as attached below
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eq.png [ 15.87 KiB | Viewed 427 times ]

Re: An equilateral triangle ABC is inscribed in the circle. If   [#permalink] 01 Oct 2016, 21:05
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