Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46305

If the figure below is a square with a side of 4 units, what is the ar [#permalink]
Show Tags
24 Nov 2014, 07:23
Question Stats:
77% (00:36) correct 23% (00:50) wrong based on 115 sessions
HideShow timer Statistics



Manager
Joined: 12 Aug 2014
Posts: 151
Location: United States (AZ)
Concentration: Finance, Strategy

Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]
Show Tags
24 Nov 2014, 07:40
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.



Manager
Joined: 17 Mar 2014
Posts: 222

Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]
Show Tags
24 Nov 2014, 12:47
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



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
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
24 Nov 2014, 20:19
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



Manager
Joined: 21 Jan 2014
Posts: 62
WE: General Management (NonProfit and Government)

Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]
Show Tags
25 Nov 2014, 04:51
From the figure the diameter of the circle =4 units
So area = Area = 3.15*r^2=3.15*4 =13 Approx.
Answer D



Intern
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
25 Nov 2014, 05:27
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]



Math Expert
Joined: 02 Sep 2009
Posts: 46305

Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]
Show Tags
25 Nov 2014, 07:53
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? 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?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? Extrahard Quant Tests with Brilliant Analytics



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570

Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]
Show Tags
23 Jan 2018, 09:01
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: 20141124_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 SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3514
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: If the figure below is a square with a side of 4 units, what is the ar [#permalink]
Show Tags
23 Jan 2018, 10:19
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? A) π B) 4 C) 8 D) 13 E) 16 Kudos for a correct solution.Source: Chili Hot GMAT Attachment: 20141124_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, 10:19






