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.
No line segment with endpoints on the circle with center O i
[#permalink]
24 Nov 2020, 08:26
24 Nov 2020, 08:26
Expert Reply
00:00
Question Stats:
71% (02:07) correct
28% (01:49) wrong based on 28 sessions
Hide Show timer Statistics
Attachment:
GRE No line segment with endpoints on the circle .jpg [ 9.94 KiB | Viewed 1971 times ]
No line segment with endpoints on the circle with center O is longer than line segment AD.
\(OB = AB=3\)
Quantity A |
Quantity B |
The area of sector OBCD |
9 |
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: No line segment with endpoints on the circle with center O i
[#permalink]
25 Nov 2020, 00:35
25 Nov 2020, 00:35
1
It is obvious that AD is the diameter of the circle.
OB=AB=OA= radius=3 => OAB is a equilateral triangle
<AOB=60 degree
therefore the area of the sector OBCD= 1/2* area of the circle - area of the sector OAB (which constitute 60 degrees at the center)
= 1/2* pi * 3^2- 60/360 * pi * 3^2
= 14.13- 4.71 = 9.42 (greater than 9)
So A is the answer.
OB=AB=OA= radius=3 => OAB is a equilateral triangle
<AOB=60 degree
therefore the area of the sector OBCD= 1/2* area of the circle - area of the sector OAB (which constitute 60 degrees at the center)
= 1/2* pi * 3^2- 60/360 * pi * 3^2
= 14.13- 4.71 = 9.42 (greater than 9)
So A is the answer.
gmatclubot
Re: No line segment with endpoints on the circle with center O i [#permalink]
25 Nov 2020, 00:35
Moderators:
