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.
Twice the area of the shaded region
[#permalink]
21 Dec 2020, 13:27
21 Dec 2020, 13:27
Expert Reply
00:00
Question Stats:
74% (01:24) correct
24% (01:16) wrong based on 28 sessions
Hide Show timer Statistics
Attachment:
GRE Twice the area of the shaded region.jpg [ 14.61 KiB | Viewed 1911 times ]
\(O\) is the center of the circle.
Quantity A |
Quantity B |
Twice the area of the shaded region |
The area of the triangle \(AOB\) |
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Twice the area of the shaded region
[#permalink]
21 Dec 2020, 16:35
21 Dec 2020, 16:35
1
Carcass wrote:
Attachment:
GRE Twice the area of the shaded region.jpg
\(O\) is the center of the circle.
Quantity A |
Quantity B |
Twice the area of the shaded region |
The area of the triangle \(AOB\) |
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
Area of a triangle \(= \frac{(base)(height)}{2}\)
Area of triangle AOB\(= \frac{(2)(2)}{2}=2\)
QUANTITY B = 2
-----------------------------
Area of a sector \(= (\frac{central angle}{360})\pi r^2\)
Area of sector OAB \(= (\frac{90}{360})(\pi)(2^2)= (\frac{1}{4})(\pi)(4) = \pi\)
So, the area of the shaded region \(= \pi - 2 ≈ 3.14 - 2≈ 1.14\)
QUANTITY A = (2)(1.14) = 2.28
Answer: A
gmatclubot
Re: Twice the area of the shaded region [#permalink]
21 Dec 2020, 16:35
Moderators:
