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O is the center of the circle and the area of
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12 May 2021, 06:20
12 May 2021, 06:20
Expert Reply
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Question Stats:
88% (01:26) correct
11% (02:30) wrong based on 26 sessions
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š¯‘‚ is the center of the circle and the area of \(\triangle POQ\) is \(4\sqrt{3}
\)
Quantity A |
Quantity B |
The area of the circle |
The circumference 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.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: O is the center of the circle and the area of
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12 May 2021, 22:03
12 May 2021, 22:03
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Carcass wrote:
Attachment:
shot48.jpg
š¯‘‚ is the center of the circle and the area of \(\triangle POQ\) is \(4\sqrt{3}
\)
Quantity A |
Quantity B |
The area of the circle |
The circumference 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.
Col. A: \(Ļ€r^2\)
Col. B: \(2Ļ€r\)
Dividing both sides by \(Ļ€r\);
Col. A: \(r\)
Col. B: \(2\)
OP = OQ = radius (r)
Therefore, POQ is an equilateral triangle with area \(4\sqrt{3}\)
i.e. Area of eq. triangle = \(\frac{\sqrt{3}}{4}r^2 = 4\sqrt{3}\)
\(r = 4\)
Col. A: \(4\)
Col. B: \(2\)
Hence, option A
General Discussion
Re: O is the center of the circle and the area of
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13 May 2021, 00:01
13 May 2021, 00:01
triangle given is equilateral triangle ( angle given 60).
area of equilateral triangle =4root3
side of equilateral triangle=radius of circle=4
area of circle= 16pi
circumference of circle=8pi
hence quantity A greater than quantity B
answer A
area of equilateral triangle =4root3
side of equilateral triangle=radius of circle=4
area of circle= 16pi
circumference of circle=8pi
hence quantity A greater than quantity B
answer A
