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# If the radius of the circle above is 3 and point 0 is the ce

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If the radius of the circle above is 3 and point 0 is the ce [#permalink]  31 May 2020, 09:49
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74% (02:26) correct 25% (02:24) wrong based on 27 sessions
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#greprepclub If the radius of the circle above is 3 and point 0 is the center of the circle, what is the area of triangle ABC .jpg [ 18.68 KiB | Viewed 509 times ]

If the radius of the circle above is 3 and point 0 is the center of the circle, what is the area of triangle ABC?

A. $$4 \sqrt{3}$$

B. $$6 \sqrt{2}$$

C. $$6 \sqrt{3}$$

D. $$12 \sqrt{2}$$

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

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Founder
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Kudos [?]: 3178 [1] , given: 11677

Re: If the radius of the circle above is 3 and point 0 is the ce [#permalink]  31 May 2020, 09:49
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Re: If the radius of the circle above is 3 and point 0 is the ce [#permalink]  31 May 2020, 21:43
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AC is the diameter of the circle and it must be 6.
Triangle ABC is 30-60-90 and thus, BC = 6 / √3.
Area of triangle = 1/2 * 6 * 6 / √3.
we get 18 / √3
6 * √3 * √3 / √3
Thus, 6*√3

Last edited by sukrut96 on 12 Jul 2020, 22:15, edited 1 time in total.
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Re: If the radius of the circle above is 3 and point 0 is the ce [#permalink]  12 Jul 2020, 16:48
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sukrut96 wrote:
AC is the radius of the circle and it must be 6.
Triangle ABC is 30-60-90 and thus, BC = 6 / √3.
Area of triangle = 1/2 * 6 * 6 / √3.
we get 18 / √3
6 * √3 * √3 / √3
Thus, 6*√3

one correction: Diameter is 6 not radius
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Manager
Joined: 09 Mar 2020
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Kudos [?]: 140 [1] , given: 16

Re: If the radius of the circle above is 3 and point 0 is the ce [#permalink]  12 Jul 2020, 22:16
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Farina wrote:
sukrut96 wrote:
AC is the radius of the circle and it must be 6.
Triangle ABC is 30-60-90 and thus, BC = 6 / √3.
Area of triangle = 1/2 * 6 * 6 / √3.
we get 18 / √3
6 * √3 * √3 / √3
Thus, 6*√3

one correction: Diameter is 6 not radius

Yes, you're right. Thanks for correcting me
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Re: If the radius of the circle above is 3 and point 0 is the ce [#permalink]  01 Aug 2020, 10:48
How do you know which angle is 30 and which one is 60?
Re: If the radius of the circle above is 3 and point 0 is the ce   [#permalink] 01 Aug 2020, 10:48
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