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If the radius of the circle above is equal to the chord AB, then what

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If the radius of the circle above is equal to the chord AB, then what  [#permalink]

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New post 18 Jan 2018, 03:05
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (01:49) correct 43% (01:49) wrong based on 31 sessions

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If the radius of the circle above is equal to the chord AB, then what  [#permalink]

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New post Updated on: 18 Jan 2018, 05:55
Bunuel wrote:
Image
If the radius of the circle above is equal to the chord AB, then what is the value of x ?

(A) 25
(B) 30
(C) 40
(D) 45
(E) 50

Attachment:
The attachment 2018-01-18_1404.png is no longer available


Radius = Chord AB

i.e. OAB will be an equilateral triangle where O is the centre of circle


Now by chord AB the angle made at the centre of the circle = 60º

Property: Angle made by a Chord at the centre is always twice the angle made by the same chord at the circumference
As shown in figure

And angle AOB and angle x are made by the same chord at the centre and circumference of the circle respectively

Hence, angle AOB = 2*x = 60º

i.e. x = 30º

Answer: Option B
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Originally posted by GMATinsight on 18 Jan 2018, 05:52.
Last edited by GMATinsight on 18 Jan 2018, 05:55, edited 2 times in total.
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Re: If the radius of the circle above is equal to the chord AB, then what  [#permalink]

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New post 18 Jan 2018, 05:58
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Bunuel wrote:
Image
If the radius of the circle above is equal to the chord AB, then what is the value of x ?

(A) 25
(B) 30
(C) 40
(D) 45
(E) 50

Attachment:
2018-01-18_1404.png


Bunuel
Although the question is answerable comfortably however there is this one thing which disqualifies this question from being a GMAT like question in my opinion. The un-necessary information 50º in this case is redundant which is not GMAT like question style.
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Re: If the radius of the circle above is equal to the chord AB, then what   [#permalink] 18 Jan 2018, 05:58
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