Last visit was: 03 Aug 2024, 18:49 It is currently 03 Aug 2024, 18:49
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Square S is inscribed in circle T. If the perimeter of S is 24, what i

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94778
Own Kudos [?]: 646406 [13]
Given Kudos: 86853
Senior Manager
Joined: 22 Nov 2018
Posts: 430
Own Kudos [?]: 497 [2]
Given Kudos: 292
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 740 Q49 V41
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 8021
Own Kudos [?]: 4262 [1]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6047
Own Kudos [?]: 4776 [0]
Given Kudos: 463
Location: India
GPA: 3.5
Re: Square S is inscribed in circle T. If the perimeter of S is 24, what i [#permalink]
Bunuel wrote:
Square S is inscribed in circle T. If the perimeter of S is 24, what is the circumference of T?

A. 6π
B. 12π
C. 3√2*π
D. 6√2*π
E. 12√2*π

4s = 24

So, s = 6 ( Each side of the square is 6 )

Now, Diagonal of the Square = Diamter of the Circle

So, $$6\sqrt{2}$$= Diameter of the Circle

Now, Circumference of the Circle is π*Diamter of the Circle = 6√2*π , Answer must be (D)
Tutor
Joined: 17 Sep 2014
Posts: 1245
Own Kudos [?]: 977 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Re: Square S is inscribed in circle T. If the perimeter of S is 24, what i [#permalink]
Bunuel wrote:
Square S is inscribed in circle T. If the perimeter of S is 24, what is the circumference of T?

A. 6π
B. 12π
C. 3√2*π
D. 6√2*π
E. 12√2*π

The square is inside the circle, see attachment below. Then the length of the square is longer than the radius of the circle. Radius = 6 / sqrt(2) = 3*sqrt(2), and the circumference is 2pi * 3sqrt(2). Thus the answer is D.
Attachments

square in circle.png [ 38.18 KiB | Viewed 8909 times ]

Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19249
Own Kudos [?]: 22787 [0]
Given Kudos: 286
Location: United States (CA)
Re: Square S is inscribed in circle T. If the perimeter of S is 24, what i [#permalink]
Bunuel wrote:
Square S is inscribed in circle T. If the perimeter of S is 24, what is the circumference of T?

A. 6π
B. 12π
C. 3√2*π
D. 6√2*π
E. 12√2*π

Since the perimeter of S is 24, each side is 6, and the diagonal of S = the diameter of T = 6√2. Thus, the circumference of T is 6√2*π.

Non-Human User
Joined: 09 Sep 2013
Posts: 34228
Own Kudos [?]: 858 [0]
Given Kudos: 0
Re: Square S is inscribed in circle T. If the perimeter of S is 24, what i [#permalink]
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.
Re: Square S is inscribed in circle T. If the perimeter of S is 24, what i [#permalink]
Moderator:
Math Expert
94778 posts