It is currently 24 Feb 2018, 15:35

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If the figure below is a square with a side of 4 units, what is the ar

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43898
If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 24 Nov 2014, 06:23
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

76% (00:35) correct 24% (00:53) wrong based on 101 sessions

HideShow timer Statistics

If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?
Image

A) π
B) 4
C) 8
D) 13
E) 16

Kudos for a correct solution.

Source: Chili Hot GMAT

[Reveal] Spoiler:
Attachment:
2014-11-24_1823.png
2014-11-24_1823.png [ 3.4 KiB | Viewed 1635 times ]
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Manager
Manager
avatar
B
Joined: 12 Aug 2014
Posts: 147
Location: United States
Concentration: Finance, Strategy
GMAT 1: 700 Q47 V39
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 24 Nov 2014, 06:40
1
This post received
KUDOS
If the length of the side of the square is 4 units, the radius of the circle must be 2 units. Therefore, the area of the circle is πr^2 = π(4) = 3.1415 * 4 = approx. 13 units.

Answer is D.
1 KUDOS received
Manager
Manager
avatar
S
Joined: 17 Mar 2014
Posts: 160
GMAT ToolKit User CAT Tests
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 24 Nov 2014, 11:47
1
This post received
KUDOS
Side of the square is \(4\) units.
Diameter of circle = side of square =\(4\)
Radius(r) of circle = \(\frac{Diameter}{2}\) =\(\frac{4}{2}\) =2
Area of circle = pi\(r^2\) --PS: i don't know how to insert π notation so i used pi.--

Area of circle= \(3.14*2^2\) \(=12.56\)
Area is approx \(13\) unit

Answer: D
1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 24 Nov 2014, 19:19
1
This post received
KUDOS
Answer = D) 13

Circle is inscribed, so radius = 2

\(Area = \pi 2^2 = 3.14 * 4 = 12.56 \approx{13}\)
_________________

Kindly press "+1 Kudos" to appreciate :)

1 KUDOS received
Manager
Manager
User avatar
Joined: 21 Jan 2014
Posts: 62
WE: General Management (Non-Profit and Government)
GMAT ToolKit User
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 25 Nov 2014, 03:51
1
This post received
KUDOS
From the figure the diameter of the circle =4 units

So area = Area = 3.15*r^2=3.15*4 =13 Approx.


Answer D
1 KUDOS received
Intern
Intern
avatar
Joined: 20 Jan 2013
Posts: 33
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 25 Nov 2014, 04:27
1
This post received
KUDOS
Diameter of the circle = Side of the square = 4 units

Area of the circle = 3.14 * (Diameter)^2/4 = 3.14* 16/4 = 12.56 = 13 (Approx)

Answer D.
_________________

_________________

KUDOS is always a good way to thank anyone.
It encourages someone to post more questions and also answers.

KUDOS Please if My post helps you in anyway. Your Kudos keep me alive [/color]

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43898
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 25 Nov 2014, 06:53
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?
Image
A) π
B) 4
C) 8
D) 13
E) 16

Kudos for a correct solution.

Source: Chili Hot GMAT


Official Solution:

If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?
Image

A) π
B) 4
C) 8
D) 13
E) 16

Eyeballing:
Eyeballing is a parallel technique to be used on diagrams. Note that whatever the area of this circle may be, it must be less than the area of this square. The area of the square (in square units) is: A = s^2 = 4 × 4 = 16. Therefore, the area of the circle is a little less than 16. Choice D is the only close answer. For the record, the near exact area of the circle is: A = π^2 = 3.14(2)^2 = 12.56 or 13. Note that the decimal approximation for π is 3.14 while the fractional approximation is 22/7.

Answer: D.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2016
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 23 Jan 2018, 08:01
Bunuel wrote:
If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?
Attachment:
2014-11-24_1823.png


A) π
B) 4
C) 8
D) 13
E) 16


Since the square has a side of 4, the diameter of the circle is 4, and the radius is 2.

Thus, the area is π x 2^2 = 4π ≈ 4 x 3.14 = 12.56. The nearest integer to 12.56 is 13.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3326
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]

Show Tags

New post 23 Jan 2018, 09:19
Bunuel wrote:
If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?
Image

A) π
B) 4
C) 8
D) 13
E) 16

Kudos for a correct solution.

Source: Chili Hot GMAT

[Reveal] Spoiler:
Attachment:
2014-11-24_1823.png


Radius of the circle is 2 units.

Area of the circle is \(π2^2\) = \(4π\) ~ \(13\) , Answer will be (D)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: If the figure below is a square with a side of 4 units, what is the ar   [#permalink] 23 Jan 2018, 09:19
Display posts from previous: Sort by

If the figure below is a square with a side of 4 units, what is the ar

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.