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

It is currently 06 May 2016, 01:41
GMAT Club Tests

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

If the area of a square is equal to the area of a circle,

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2007
Posts: 257
Followers: 1

Kudos [?]: 31 [0], given: 0

If the area of a square is equal to the area of a circle, [#permalink]

Show Tags

New post 14 Mar 2007, 03:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If the area of a square is equal to the area of a circle, what will be the ratio of perimeter of the square to circumference of the circle?
Director
Director
User avatar
Joined: 06 Feb 2006
Posts: 898
Followers: 2

Kudos [?]: 78 [0], given: 0

 [#permalink]

Show Tags

New post 14 Mar 2007, 03:08
x^2=pir^2
x=sqrt(pir^2)
x=r*sqrt(pi)

What is the ratio of:
4x/2pir.....plug in x value

4r*sqrt(pi)/2pir
2sqrt(pi)/pi.....raise by ^2 numerator and denominator
4pi/pi^2
4/pi
Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2007
Posts: 257
Followers: 1

Kudos [?]: 31 [0], given: 0

 [#permalink]

Show Tags

New post 14 Mar 2007, 03:17
Thanks SimaQ, I was stuck here 2sqrt(pi)/pi.....
Manager
Manager
avatar
Joined: 28 Feb 2007
Posts: 197
Location: California
Followers: 2

Kudos [?]: 7 [0], given: 0

 [#permalink]

Show Tags

New post 14 Mar 2007, 13:16
SimaQ wrote:
x^2=pir^2
x=sqrt(pir^2)
x=r*sqrt(pi)

What is the ratio of:
4x/2pir.....plug in x value

4r*sqrt(pi)/2pir
2sqrt(pi)/pi.....raise by ^2 numerator and denominator
4pi/pi^2
4/pi


why we need to square?
Shouldn't the answer be just 2 /sqrt(pi) ?
We are asked ratio. a/b is not same as (a/b * a/b)
Senior Manager
Senior Manager
User avatar
Joined: 22 Jun 2006
Posts: 286
Followers: 3

Kudos [?]: 28 [0], given: 0

 [#permalink]

Show Tags

New post 23 Mar 2007, 03:22
techjanson, you're right
even i get the same ratio

peri of sq / circ of circle = 2 / (pi^2)
Manager
Manager
avatar
Joined: 15 Nov 2006
Posts: 219
Location: Ohio
Followers: 1

Kudos [?]: 32 [0], given: 0

 [#permalink]

Show Tags

New post 23 Mar 2007, 15:07
et r be the radius of circle. a be the side of square.
pi*r^2=a^2
or a^2/r^2=pi
or a/r=sqrt(pi)

Now perimeter of square/perimeter of circle
= 4a/2*pi*r
=(2/pi)*(a/r)
=(2/pi)*sqrt (pi)
multiplying the numerator and denominator by sqrt(pi) and simplifying
perimeter of square/perimeter of circle=2/sqrt(pi)
  [#permalink] 23 Mar 2007, 15:07
Display posts from previous: Sort by

If the area of a square is equal to the area of a circle,

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| 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®.