GMAT Changed on April 16th - Read about the latest changes here

 It is currently 24 Apr 2018, 05:38

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

The perimeter of a square with a side of length S is equal to the circ

Author Message
TAGS:

Hide Tags

SVP
Joined: 12 Dec 2016
Posts: 1927
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
The perimeter of a square with a side of length S is equal to the circ [#permalink]

Show Tags

04 Jan 2018, 02:27
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

83% (00:59) correct 17% (01:49) wrong based on 29 sessions

HideShow timer Statistics

The perimeter of a square with a side of length S is equal to the circumference of a circle. In terms of S, what is the area of the circle?

[Reveal] Spoiler:
Attachment:

b.JPG [ 10.45 KiB | Viewed 375 times ]
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 44627
Re: The perimeter of a square with a side of length S is equal to the circ [#permalink]

Show Tags

04 Jan 2018, 02:35
chesstitans wrote:
The perimeter of a square with a side of length S is equal to the circumference of a circle. In terms of S, what is the area of the circle?

[Reveal] Spoiler:
Attachment:
b.JPG

The perimeter of a square with a side of length S is 4S. So, we are told that $$4S=2\pi r$$ for a certain circle.

$$4S=2\pi r$$;

$$r=\frac{2S}{\pi}$$

$$area_{circle} = \pi r^2 = \pi *(\frac{2S}{\pi})^2=\frac{4S^2}{\pi}$$.

_________________
Re: The perimeter of a square with a side of length S is equal to the circ   [#permalink] 04 Jan 2018, 02:35
Display posts from previous: Sort by