Find all School-related info fast with the new School-Specific MBA Forum

It is currently 12 Jul 2014, 10:23

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The Quadrilateral shown above is a square. Four circles are

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 12 Feb 2013
Posts: 6
Followers: 0

Kudos [?]: 1 [0], given: 18

The Quadrilateral shown above is a square. Four circles are [#permalink] New post 26 Apr 2013, 11:12
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

64% (02:08) correct 35% (03:27) wrong based on 17 sessions
The Quadrilateral shown above is a square. Four circles are tangent to the sides of the square and the small circle in the centre is tangent to each of the four circles. What is the ratio of the small circle to the side of the square?
a 1/2
b 1/4(\sqrt{2} -1)
c 1/2(\sqrt{2}-1)
d \sqrt{2} -1
e 2 (\sqrt{2}-2)
[Reveal] Spoiler: OA

Attachments

Untitled.png
Untitled.png [ 10.2 KiB | Viewed 696 times ]

1 KUDOS received
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1125
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 101

Kudos [?]: 1062 [1] , given: 219

GMAT ToolKit User GMAT Tests User
Re: The Quadrilateral shown above is a square. Four circles are [#permalink] New post 26 Apr 2013, 11:39
1
This post received
KUDOS
alex90 wrote:
The Quadrilateral shown above is a square. Four circles are tangent to the sides of the square and the small circle in the centre is tangent to each of the four circles. What is the ratio of the small circle to the side of the square?
a 1/2
b 1/4(\sqrt{2} -1)
c 1/2(\sqrt{2}-1)
d \sqrt{2} -1
e 2 (\sqrt{2}-2)


Lets assume that the radius of the big circle is 1.
Create a square connecting all the centers (look picture). Its side is 2, it diagonal is 2\sqrt{2}, this if formed by 2 radius and the diameter of the smaller circle
2\sqrt{2}-2(=2*radiusBig)=diameterSmall 2(\sqrt{2}-1)=diamSmall
so radius small = \sqrt{2}-1

The ratio radius to side square (= 4) is (\sqrt{2}-1)/4
B
Attachments

Untitled.png
Untitled.png [ 7.87 KiB | Viewed 679 times ]


_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Intern
Intern
avatar
Joined: 18 Nov 2011
Posts: 37
Concentration: Strategy, Marketing
GMAT Date: 06-18-2013
GPA: 3.98
Followers: 0

Kudos [?]: 4 [0], given: 0

Re: The Quadrilateral shown above is a square. Four circles are [#permalink] New post 26 Apr 2013, 14:45
alex90 wrote:
The Quadrilateral shown above is a square. Four circles are tangent to the sides of the square and the small circle in the centre is tangent to each of the four circles. What is the ratio of the small circle to the side of the square?
a 1/2
b 1/4(\sqrt{2} -1)
c 1/2(\sqrt{2}-1)
d \sqrt{2} -1
e 2 (\sqrt{2}-2)



Is this question copied from the OG verbatim?

The section I highlighted in red seems to fail to aknowledge what ratio they asking (diameter of small circle vs side of square? Circumference of circle vs side of square? etc)
Director
Director
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 598
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 128 [0], given: 160

Re: The Quadrilateral shown above is a square. Four circles are [#permalink] New post 29 Apr 2013, 01:45
I considered it as ratio of radius of small circle to the side of the square (yes, the question lacks clarity as to what ratio asked for)

Considering 2 as side of the square

(sqrt2 - 1)/2 = Radius of small circle
2 = Side of Square;Solving it further, we get ans = 1/(4.sqrt2-1)
_________________

Kindly press "Kudos" to appreciate

Re: The Quadrilateral shown above is a square. Four circles are   [#permalink] 29 Apr 2013, 01:45
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic The figure shown above consists of three identical circles t Bunuel 6 09 Mar 2014, 14:14
1 Experts publish their posts in the topic Quadrilateral RSTU shown above is a site plan for a parking Walkabout 1 14 Dec 2012, 07:53
Experts publish their posts in the topic In the figure above, a square is inscribed in a circle. If sara933k 6 16 Sep 2012, 13:38
14 Experts publish their posts in the topic If A is the center of the circle shown above (see attachment TheRob 15 07 Sep 2009, 06:19
1 Rectangle ABCD is inscribed in a circle as shown above. What cloaked_vessel 9 26 Mar 2005, 08:12
Display posts from previous: Sort by

The Quadrilateral shown above is a square. Four circles are

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.