What is the length of chord AB in circle O above?

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What is the length of chord AB in circle O above? [#permalink]

06 Dec 2012, 05:34

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What is the length of chord AB in circle O above?

(1) OQ = 5
(2) OP = 3

[Reveal] Spoiler:

Gmat Hacks Challenge Problem found in the Data Sufficiency Challenge set, I thought the answer was "C" because if you know OQ than you can draw a line to OA and form a right triangle and than if you have the heigh OP you can find the missing side (AP) which is half of AB.

OA:
34. E
Explanation: Most measurements in a circle (radius, diameter, circumference, area) are closely related, but the same is not true of chords. Statement (1) is not sufficient, as knowing the length of the radius tells us nothing about the length of the chord, which could be placed anywhere between the top of the circle and just above the center. Statement (2) is also insufficient even if we know the placement of point P on the radius, theres no way to use that to find the length of the chord.

Taken together, we still have little information about chord AB. Unless the chord is part of a quadrilateral, triangle, or other figure, its not possible to find the length of a chord from the measurements of the circle that contains it.

[Reveal] Spoiler: OA

Last edited by Bunuel on 06 Dec 2012, 06:14, edited 1 time in total.

Edited the question.

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Re: What is the length of chord AB in circle O above? [#permalink]

06 Dec 2012, 05:44

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What is the length of chord AB in circle O above?
(1) OQ = 5
(2) OP = 3

E. Your reference that OQ is perpendicular to AB is incorrect.
The perpendicular from center of circle on a chord bisects the chord.
Just looking at figure and figuring that it is perpendicular is incorrect.

Hope its clear.

Intern

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Posts: 17

GMAT 1: 680 Q47 V37

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Re: What is the length of chord AB in circle O above? [#permalink]

06 Dec 2012, 05:46

BangOn wrote:

Wow stupid mistake on my part. Thank you!

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Re: What is the length of chord AB in circle O above? [#permalink]

06 Dec 2012, 05:49

Its ok. Mistakes happen.
Press Kudos instead of thanks.

Re: What is the length of chord AB in circle O above? [#permalink] 06 Dec 2012, 05:49

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What is the length of chord AB in circle O above?

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What is the length of chord AB in circle O above?

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