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

 It is currently 21 Feb 2019, 03:53

### 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

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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 25 Dec 2018
Posts: 148
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

Updated on: 15 Jan 2019, 09:34
1
00:00

Difficulty:

35% (medium)

Question Stats:

77% (00:51) correct 23% (01:13) wrong based on 39 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, 08:21.
Last edited by Bunuel on 15 Jan 2019, 09:34, edited 1 time in total.
Edited the OA.
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4387
Location: India
GPA: 3.5
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

15 Jan 2019, 08:34
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 )

VP
Joined: 09 Mar 2018
Posts: 1001
Location: India
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

15 Jan 2019, 08:37
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
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

15 Jan 2019, 09:26
Can anyone explain why it is 6pie rather than 8pie..?

Posted from my mobile device
VP
Joined: 09 Mar 2018
Posts: 1001
Location: India
A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

Updated on: 15 Jan 2019, 09:54
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, 09:31.
Last edited by KanishkM on 15 Jan 2019, 09:54, edited 1 time in total.
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4387
Location: India
GPA: 3.5
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

15 Jan 2019, 09:51
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
Joined: 02 Sep 2009
Posts: 53061
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

15 Jan 2019, 09:55
1
Abhishek009 wrote:
OA for the question must be (D) post has been modified by ADMIN member, Bunuel...

Yes, edited the OA. Thank you all.
_________________
Intern
Joined: 25 Dec 2018
Posts: 42
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

16 Jan 2019, 01:03
1
side^2 = (diagonal^2)/2

side = 4
diagonal = 4√2

Area = 8π
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8891
Location: Pune, India
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

16 Jan 2019, 01:52
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 $$= \pi*r^2 = \pi*(2*\sqrt{2})^2 = 8\pi$$

_________________

Karishma
Veritas Prep GMAT Instructor

SVP
Joined: 18 Aug 2017
Posts: 1887
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

16 Jan 2019, 03:26
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
area : (2 sqrt 2)^2 * pi
: 8 pi
IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4947
Location: United States (CA)
Re: A square is inscribed in a circle. If the side of the same square 4cm,  [#permalink]

### Show Tags

17 Jan 2019, 17:57
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.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

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