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# The length of minor

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The length of minor [#permalink]  15 May 2018, 15:24
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Question Stats:

80% (00:45) correct 20% (00:27) wrong based on 5 sessions
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circle.jpg [ 16.28 KiB | Viewed 190 times ]

 Quantity A Quantity B The length of minor arc $$WX$$ of the circle The length of minor arc $$YZ$$ of the circle

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The length of minor [#permalink]  15 May 2018, 20:57
we know that the we can find the length of the segment of the circle if we can find the center angle enclosed within the segment and the radius.

we have been given two angles x enclosed within points wx and yz
we can respectively find the centre angle for the given points as 2x.
Each angle 2x forms a sector of a circle within points wx and yz
Therefore both minor arc in question will be of equal length. we do not need to know the radius unless we want the exact length of the segment.
option c
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: The length of minor   [#permalink] 15 May 2018, 20:57
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