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Re: O is the center point of the circle in the figure [#permalink]
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Carcass wrote:
Attachment:
The attachment #greprepclub O is the center of the circle.jpg is no longer available


O is the center point of the circle in the figure

Quantity A
Quantity B
The length of the minor \(\cap AD\)
The length of the minor \(\cap CB\)



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.

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Attachment:
#greprepclub O is the center of the circle.jpg
#greprepclub O is the center of the circle.jpg [ 18.22 KiB | Viewed 6801 times ]


For \(\triangle\) AOB, AO=OD = Radius and

hence the \(\angle\) oad = \(\angle\) oda = 65

therefore central angle = 50

**Greater the central angle, greater is the arc length

central \(\angle\) AOD > central \(\angle\) COB

Hence option A
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Re: O is the center point of the circle in the figure [#permalink]
Carcass sir, suppose 65 degree is not mentioned in the figure then we would consider angle of arc AD as 40 degree as vertically opposite angle or is there is any condition when two angles can be called vertically opposite ?
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Re: O is the center point of the circle in the figure [#permalink]
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As you stated in your question, yes we could consider the other angle as 40° but it all depends also on the information in the question or figure
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