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The length of minor

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The length of minor [#permalink] New post 15 May 2018, 15:24
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87% (00:31) correct 12% (00:20) wrong based on 32 sessions
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#GREpracticequestion The length of minor arc WX.jpg
#GREpracticequestion The length of minor arc WX.jpg [ 16.28 KiB | Viewed 965 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] New post 15 May 2018, 20:57
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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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Re: The length of minor [#permalink] New post 03 Jan 2020, 21:20
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If two inscribed angles hold the same cord, the two inscribed angles are equal.

Therefore, Inscribed angles holding chords/arcs of equal length are equal.

Vice versa, Two inscribed angles are equal so there cords are equal.
Re: The length of minor   [#permalink] 03 Jan 2020, 21:20
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