NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 07:44 It is currently 25 Apr 2024, 07:44
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A circle is circumscribed around a square and inscribed in a

User avatar
B
kevincan
GMAT Instructor
Joined: 04 Jul 2006
Posts: 960
Own Kudos [?]: 693 [0]
Given Kudos: 6
Location: Madrid
 Q51  V50
Send PM
A circle is circumscribed around a square and inscribed in a [#permalink] New post   09 Jul 2006, 03:40
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:17) correct 0% (00:00) wrong based on 0 sessions
Hide Show timer Statistics
A circle is circumscribed around a square and inscribed in a larger square. A point inside the larger square is chosen at random. Which of the following best approximates the probability that this point is inside the circle but outside the square inscribed in the circle?

(A) 28% (B) 31% (C) 35% (D) 39% (E) 43%



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
sgrover
Manager
Manager
Joined: 07 Jul 2005
Posts: 246
Own Kudos [?]: 130 [1]
Given Kudos: 0
Location: Sunnyvale, CA
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   09 Jul 2006, 18:30
1
Kudos
kevincan wrote:
A circle is circumscribed around a square and inscribed in a larger square. A point inside the larger square is chosen at random. Which of the following best approximates the probability that this point is inside the circle but outside the square inscribed in the circle?

(A) 28% (B) 31% (C) 35% (D) 39% (E) 43%


Let,
radius of circle -- r
diagonal of inside square - 2r, side = sqrt(2)*r
side of larger square - 2r

Prob = (pi*r^2 - 2^r^2)/4r^2 = 28% (A)
User avatar
ps_dahiya
VP
VP
Joined: 20 Nov 2005
Posts: 1490
Own Kudos [?]: 1133 [0]
Given Kudos: 0
Concentration: Strategy, Entrepreneurship
Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
 Q50  V34
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   09 Jul 2006, 19:30
Let radius of circle = r
Area of circle = PI*r^2
Total Area (Area of outer square) = (2r)*(2r)
Area of inner circle = (SQRT(2)*r)^2 = 2r^2

Prob = (PI*r^2 - 2r^2)/4r^2 = (PI-2)/4 = 28% approx.
User avatar
alimad
Senior Manager
Senior Manager
Joined: 10 Feb 2006
Posts: 466
Own Kudos [?]: 3904 [0]
Given Kudos: 0
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   15 Jul 2006, 11:54
A circle is circumscribed around a square and inscribed in a larger square. A point inside the larger square is chosen at random. Which of the following best approximates the probability that this point is inside the circle but outside the square inscribed in the circle?

(A) 28% (B) 31% (C) 35% (D) 39% (E) 43%

If you look at the answers you'd notice that only (A) when subtracted from 100 would result in an amount equally divided by 4 ( 4 quadrants of a square) = 100 - 28 = 72 /4 = 18. I used this as a short cut to estimate my answer.

That's the shortest way I could find the answer. What do you guys think??
User avatar
ghantark
Manager
Manager
Joined: 21 Jul 2006
Posts: 53
Own Kudos [?]: 67 [0]
Given Kudos: 0
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   21 Jul 2006, 19:54
I'll Go with A.
Just curious, where did you get this question from. I took GMAT in 2000 and remember seeing something very similar.
-Regards
User avatar
B
kevincan
GMAT Instructor
Joined: 04 Jul 2006
Posts: 960
Own Kudos [?]: 693 [0]
Given Kudos: 6
Location: Madrid
 Q51  V50
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   22 Jul 2006, 01:10
I make them up. I took the GMAT 17 years ago. It's nice to know that sometimes I am on the same wavelength as the exam writers. The main thing, though, is to hone your skills!

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
User avatar
B
kevincan
GMAT Instructor
Joined: 04 Jul 2006
Posts: 960
Own Kudos [?]: 693 [0]
Given Kudos: 6
Location: Madrid
 Q51  V50
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   19 Sep 2006, 13:46
A circle is circumscribed around a square and inscribed in a larger square. A point inside the larger square is chosen at random. Which of the following best approximates the probability that this point is inside the circle but outside the square inscribed in the circle?

(A) 28% (B) 31% (C) 35% (D) 39% (E) 43%

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
User avatar
haas_mba07
Director
Director
Joined: 02 Jun 2006
Posts: 664
Own Kudos [?]: 213 [0]
Given Kudos: 0
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   19 Sep 2006, 13:58
A. 28%

Let side of inner square = a
Area of inner square = a^2

Diameter of circle = a x sqrt(2)
Radius = a x sqrt(2) /2

Area of circle = pi x a^2/2 = 22a^2/7x2 = 11a^2/7

Area of circle not part of inner square = 11a^2/7 - a^2 = 4a^2/7

Side of outer Square = diameter of circle = a x sqrt(2) = 2a^2

Prob(Success) = Area of inner circle not part of Square/Area of outer square
= (4a^2/7)/(2a^2) = 2/7 = 28.5%

Answer: A.
User avatar
cicerone
Manager
Manager
Joined: 28 Aug 2006
Posts: 165
Own Kudos [?]: 278 [0]
Given Kudos: 0
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   Updated on: 25 Sep 2008, 01:24
Answer is A.
Infact the exact answer will be 28.56...%

Originally posted by cicerone on 19 Sep 2006, 22:57.
Last edited by cicerone on 25 Sep 2008, 01:24, edited 1 time in total.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32674
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: A circle is circumscribed around a square and inscribed in a [#permalink] New post   08 Jun 2020, 07:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: A circle is circumscribed around a square and inscribed in a [#permalink]
08 Jun 2020, 07:15
Moderators:
Bunuel
Math Expert
92914 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions