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

 It is currently 21 Feb 2019, 04:13

### 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

# If a square is inscribed in a circle of radius 4, what is the area of

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53061
If a square is inscribed in a circle of radius 4, what is the area of  [#permalink]

### Show Tags

29 Jan 2019, 02:43
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:10) correct 41% (00:30) wrong based on 18 sessions

### HideShow timer Statistics

If a square is inscribed in a circle of radius 4, what is the area of the square?

A. 8
B. 16
C. 32
D. 48
E. 64

M11-32

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2796
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If a square is inscribed in a circle of radius 4, what is the area of  [#permalink]

### Show Tags

29 Jan 2019, 02:47
Bunuel wrote:
If a square is inscribed in a circle of radius 4, what is the area of the square?

A. 8
B. 16
C. 32
D. 48
E. 64

M11-32

If square is inscribed in a circle then, Diameter of Circle = Diagonal of the square = a√2 (if a is the side of the square)

i.e. Diameter = 2*4 = a√2

i,e, side of the square, a = 4√2

i.e. Area of the square $$= side^2 = a^2 = (4√2)^2 = 32$$

Attachments

11.gif [ 4.59 KiB | Viewed 543 times ]

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Math Expert
Joined: 02 Sep 2009
Posts: 53061
Re: If a square is inscribed in a circle of radius 4, what is the area of  [#permalink]

### Show Tags

29 Jan 2019, 02:49
Bunuel wrote:
If a square is inscribed in a circle of radius 4, what is the area of the square?

A. 8
B. 16
C. 32
D. 48
E. 64

M11-32

The diameter of a circle, which is $$2*4=8$$, is the diagonal of an inscribed square. Area of the square equals to $$\frac{\text{diagonal}^2}{2}=\frac{8^2}{2}=32$$.

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

### Show Tags

29 Jan 2019, 02:51
Bunuel wrote:
If a square is inscribed in a circle of radius 4, what is the area of the square?

A. 8
B. 16
C. 32
D. 48
E. 64

M11-32

diameter of circle would be the diagonal of square = s*sqrt2
8= s sqrt2
s = 4 sqrt2
area of square = 16*2 = 32
IMO C
_________________

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

Re: If a square is inscribed in a circle of radius 4, what is the area of   [#permalink] 29 Jan 2019, 02:51
Display posts from previous: Sort by