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O is the circle’s center and ∠POR is a right angle. : Quantitative Comparison Questions

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Re: O is the circle’s center and ∠POR is a right angle. [#permalink]
Expert Reply
amorphous wrote:
Attachment:
The attachment circle dotted.png is no longer available

O is the circle’s center and ∠POR is a right angle.

Quantity A
Quantity B
OR
QR


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


See the attached figure..

Rule : Side opposite larger angle with in the same triangle is larger than the side opposite smaller angles.

Take triangle OQR, which is a right angled triangle..
angle QOR = 180-(angle TOS + angle SOR)=180-(43+90)=47.
angle OQR=180-(90+angle QOR)=180-(90+47)=43.
thus angle QOR>angle OQR, therefore (side opposite angle QOR)>(side opposite angle OQR).. or QR>OR, that is B>A

B
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Re: O is the circles center and POR is a right angle. [#permalink]
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Re: O is the circles center and POR is a right angle. [#permalink]
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