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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]  13 Sep 2017, 12:46
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Question Stats:

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]  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)
Re: The circle with center O has a circumference of   [#permalink] 02 Mar 2018, 05:28
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