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# The hexagon ABCDEF is inscribed in the circle with center O. What is

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Math Expert
Joined: 02 Sep 2009
Posts: 50627
The hexagon ABCDEF is inscribed in the circle with center O. What is  [#permalink]

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05 Nov 2017, 00:57
00:00

Difficulty:

35% (medium)

Question Stats:

80% (00:54) correct 20% (01:07) wrong based on 45 sessions

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The hexagon ABCDEF is inscribed in the circle with center O. What is the length of AB?

(1) The radius of the circle is 4 inches.
(2) The hexagon is a regular hexagon. That means all its sides are the same length and all its interior angles are the same size

Attachment:

2017-11-05_1256.png [ 12.17 KiB | Viewed 1346 times ]

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Joined: 28 Dec 2010
Posts: 49
Re: The hexagon ABCDEF is inscribed in the circle with center O. What is  [#permalink]

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05 Nov 2017, 09:50
1. We don't know if all hexagon is regular.
Insufficient.

2. We don't know any length.
Insufficient.

Both.
Regular hexagon with radius = 4.
Triangle ABO would be equilateral.
AB = 4.

C.
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Joined: 22 May 2017
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GMAT 1: 580 Q41 V29
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The hexagon ABCDEF is inscribed in the circle with center O. What is  [#permalink]

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06 Nov 2017, 09:08
Bunuel wrote:

The hexagon ABCDEF is inscribed in the circle with center O. What is the length of AB?

(1) The radius of the circle is 4 inches.
(2) The hexagon is a regular hexagon. That means all its sides are the same length and all its interior angles are the same size

Attachment:
2017-11-05_1256.png

Statement 1

Radius of the circle given - 4, but it is not given hexagon is regular, so statement is insufficient.

Statement 2

Hexagon is regular but radius of circle or side of circle is not given. statement is insufficient.

Both statements are sufficient. Answer is option C
The hexagon ABCDEF is inscribed in the circle with center O. What is &nbs [#permalink] 06 Nov 2017, 09:08
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