GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
O is the center of the circle and the area of
[#permalink]
12 May 2021, 06:20
12 May 2021, 06:20
Expert Reply
00:00
Question Stats:
88% (01:26) correct
11% (02:30) wrong based on 26 sessions
Hide Show timer Statistics
Attachment:
shot48.jpg [ 23.71 KiB | Viewed 1673 times ]
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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: O is the center of the circle and the area of
[#permalink]
12 May 2021, 22:03
12 May 2021, 22:03
1
1
Bookmarks
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
[#permalink]
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
