GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2019, 05:50

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

A square is inscribed in a circle. If the side of the same square 4cm,

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

Hide Tags

Find Similar Topics 
Read Only User
Read Only User
avatar
G
Joined: 25 Dec 2018
Posts: 145
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post Updated on: 15 Jan 2019, 10:34
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (00:54) correct 27% (01:00) wrong based on 50 sessions

HideShow timer Statistics

A square is inscribed in a circle. If the side of the same square is 4cm, what is the area of the circle?

A. 2π
B. 4π
C. 6π
D. 8π
E. None of these

Originally posted by akurathi12 on 15 Jan 2019, 09:21.
Last edited by Bunuel on 15 Jan 2019, 10:34, edited 1 time in total.
Edited the OA.
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4771
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 15 Jan 2019, 09:34
1
akurathi12 wrote:
A square is inscribed in a circle. If the side of the same square is 4cm, what is the area of the circle?

A. 2π
B. 4π
C. 6π
D. 8π
E. None of these


Sides of the square is 4 units, so Diagonal of the square must be \(4\sqrt{2}\)

Diagonal of the square = Diameter of the Circle = \(4\sqrt{2}\)

So, Radius of the CIrcle is \(2\sqrt{2}\)

Thus, Area of the Circle must be \(π*2\sqrt{2}*2\sqrt{2} = 8π\), Answer must 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 )
Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 15 Jan 2019, 09:37
akurathi12 wrote:
A square is inscribed in a circle. If the side of the same square is 4cm, what is the area of the circle?

A. 2π
B. 4π
C. 6π
D. 8π
E. None of these


OP is the answer correct, i am getting D.

side = 4
diagonal = 4 \(\sqrt{2}\)
radius = 2 \(\sqrt{2}\)

Area = 8π

Do share your thoughts on this.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Intern
Intern
avatar
B
Joined: 16 Dec 2018
Posts: 10
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 15 Jan 2019, 10:26
Can anyone explain why it is 6pie rather than 8pie..?

Posted from my mobile device
Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 994
Location: India
A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post Updated on: 15 Jan 2019, 10:54
HarikaBurlakanti wrote:
Can anyone explain why it is 6pie rather than 8pie..?

Posted from my mobile device


OA Was wrong, it is indeed D.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Originally posted by KanishkM on 15 Jan 2019, 10:31.
Last edited by KanishkM on 15 Jan 2019, 10:54, edited 1 time in total.
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4771
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 15 Jan 2019, 10:51
1
OA for the question must be (D) post has been modified by ADMIN member, Bunuel...
_________________
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 )
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 15 Jan 2019, 10:55
1
Senior Manager
Senior Manager
User avatar
V
Joined: 25 Dec 2018
Posts: 488
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
CAT Tests
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 16 Jan 2019, 02:03
1
side^2 = (diagonal^2)/2

side = 4
diagonal = 4√2
radius = 2√2

Area = 8π
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9703
Location: Pune, India
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 16 Jan 2019, 02:52
1
akurathi12 wrote:
A square is inscribed in a circle. If the side of the same square is 4cm, what is the area of the circle?

A. 2π
B. 4π
C. 6π
D. 8π
E. None of these


Check this post for relations of regular polygons inscribed in circles: https://www.veritasprep.com/blog/2013/0 ... relations/

When a square is inscribed in a circle,
\(r:a = 1:\sqrt{2}\)

\(r/4 = 1:\sqrt{2}\)

\(r = 2*\sqrt{2}\)

Area of circle \(= \pi*r^2 = \pi*(2*\sqrt{2})^2 = 8\pi\)

Answer (D)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5042
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 16 Jan 2019, 04:26
akurathi12 wrote:
A square is inscribed in a circle. If the side of the same square is 4cm, what is the area of the circle?

A. 2π
B. 4π
C. 6π
D. 8π
E. None of these


diameter of circle = diagonal of square = 4 srt 2
radius = 2 sqrt 2
area : (2 sqrt 2)^2 * pi
: 8 pi
IMO D
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8137
Location: United States (CA)
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

Show Tags

New post 17 Jan 2019, 18:57
akurathi12 wrote:
A square is inscribed in a circle. If the side of the same square is 4cm, what is the area of the circle?

A. 2π
B. 4π
C. 6π
D. 8π
E. None of these



Since the square is inscribed in the circle, the diagonal of the square is equivalent to the diameter of the circle. Thus, 4√2 = diagonal of square = diameter of circle.

So the radius is half the diameter, or 2√2, and thus the area is (2√2)^2 x π = 8π.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: A square is inscribed in a circle. If the side of the same square 4cm,   [#permalink] 17 Jan 2019, 18:57
Display posts from previous: Sort by

A square is inscribed in a circle. If the side of the same square 4cm,

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





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