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O is the center of the circle and the perimeter of
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07 Sep 2020, 03:33
07 Sep 2020, 03:33
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Question Stats:
92% (00:50) correct
7% (01:45) wrong based on 63 sessions
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O is the center of the circle and the perimeter of \(\triangle POQ\) is 10.
Quantity A |
Quantity B |
The circumference of the circle |
20 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: O is the center of the circle and the perimeter of
[#permalink]
07 Sep 2020, 03:33
07 Sep 2020, 03:33
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Re: O is the center of the circle and the perimeter of
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09 Sep 2020, 06:38
09 Sep 2020, 06:38
1
Quote:
O is the center of the circle and the perimeter of △POQ is 10.
Step 1: Understanding the question
When O is the center of the circle, OQ = OP = radius of the circle, hence <OQP = <QPO
Therefore, △POQ is equilateral
radius = 10/3
Step 2: Calculating Quantity A
Circumference of the circle = 2*pi*10/3 = 20*pi/3 = 20 * 3.17 / 3 = 21.1
Quantity A is greater
A is correct
