If the area of a square is equal to the area of a circle, : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 13:03

### 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 June
Open Detailed Calendar

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

Author Message
Senior Manager
Joined: 20 Feb 2007
Posts: 256
Followers: 1

Kudos [?]: 47 [0], given: 0

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

### Show Tags

14 Mar 2007, 02:02
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
Joined: 05 Feb 2006
Posts: 898
Followers: 3

Kudos [?]: 107 [0], given: 0

### Show Tags

14 Mar 2007, 02:08
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
Joined: 20 Feb 2007
Posts: 256
Followers: 1

Kudos [?]: 47 [0], given: 0

### Show Tags

14 Mar 2007, 02:17
Thanks SimaQ, I was stuck here 2sqrt(pi)/pi.....
Manager
Joined: 28 Feb 2007
Posts: 197
Location: California
Followers: 3

Kudos [?]: 8 [0], given: 0

### Show Tags

14 Mar 2007, 12:16
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
Joined: 22 Jun 2006
Posts: 286
Followers: 3

Kudos [?]: 29 [0], given: 0

### Show Tags

23 Mar 2007, 02:22
techjanson, you're right
even i get the same ratio

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

Kudos [?]: 53 [0], given: 0

### Show Tags

23 Mar 2007, 14:07
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)
23 Mar 2007, 14:07
Display posts from previous: Sort by