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The circle with center O has a circumference of

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The circle with center O has a circumference of [#permalink] New post 13 Sep 2017, 12:46
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75% (00:39) correct 25% (00:00) wrong based on 12 sessions



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The circle with center O has a circumference of 12π \(\sqrt{3}\). If AC is a diameter of the circle, what is the length of line segment AB?

A. \(3 \sqrt{2}\)

B. 6

C. \(6 \sqrt{3}\)

D. 18

E. \(18 \sqrt{3}\)
[Reveal] Spoiler: OA

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Re: The circle with center O has a circumference of [#permalink] New post 02 Mar 2018, 05:28
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The circumference of the circle is 12*pi*sqrt(3).
So, diameter AC = 12*sqrt(3). According to 30-60-90 triangle rule, we got that 2*x= 12*sqrt(3) or, x=6*sqrt(3).
So, the length of the line segment AB=6*sqrt(3)
The answer is C.
Re: The circle with center O has a circumference of   [#permalink] 02 Mar 2018, 05:28
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