It is currently 16 Jun 2019, 23:58

GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

The area of the circular region

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 6874
Followers: 114

Kudos [?]: 1332 [0], given: 6293

The area of the circular region [#permalink]  14 Dec 2016, 02:10
Expert's post
00:00

Question Stats:

80% (00:45) correct 20% (01:02) wrong based on 10 sessions
Attachment:

#GREpracticequestion The area of the circular region with center P is 16pi.jpg [ 5.31 KiB | Viewed 387 times ]

The area of the circular region with center P is $$16\pi$$

 Quantity A Quantity B X 4

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.
[Reveal] Spoiler: OA

_________________
GRE Instructor
Joined: 10 Apr 2015
Posts: 1962
Followers: 60

Kudos [?]: 1792 [1] , given: 9

Re: The area of the circular region [#permalink]  29 Dec 2016, 14:56
1
This post received
KUDOS
Expert's post
Carcass wrote:

The area of the circular region with center P is 16pi

 Quantity A Quantity B X 4

The area of the circular region with center P is 16pi
Area of circle = (pi)(r²), where r = radius of circle

So, we can write: (pi)(r²) = 16pi
Divide both sides by pi to get: r² = 16
Solve to get: r = 4

If the radius = 4, then the DIAMETER of the circle = 8

Since we have a right triangle, we can apply the Pythagorean Theorem and write: x² + x² = 8²
Simplify: 2x² = 64
x² = 32
x = √32

So, we have:
Quantity A: √32
Quantity B: 4

IMPORTANT: We need not evaluate √32.
Just recognize that √16 = 4, which means √32 is greater than 4
Answer: A
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Sign up for my free GRE Question of the Day emails

Re: The area of the circular region   [#permalink] 29 Dec 2016, 14:56
Display posts from previous: Sort by

The area of the circular region

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.