GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Aug 2018, 05:22

### 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

# There is a circle inscribed in a square, shown on the above figure. If

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6028
GMAT 1: 760 Q51 V42
GPA: 3.82
There is a circle inscribed in a square, shown on the above figure. If  [#permalink]

### Show Tags

23 Feb 2017, 20:28
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

61% (00:36) correct 39% (00:35) wrong based on 124 sessions

### HideShow timer Statistics

Attachment:

1.png [ 2.62 KiB | Viewed 1242 times ]

There is a circle inscribed in a square, shown on the above figure. If the length of the square is 2, what is the area of one of the 4 regions shaded?

A. $$1-π$$
B. $$2-π$$
C. $$4-π$$
D. $$1-(\frac{π}{2})$$
E. $$1-(\frac{π}{4})$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 19 Apr 2016 Posts: 274 Location: India GMAT 1: 570 Q48 V22 GMAT 2: 640 Q49 V28 GPA: 3.5 WE: Web Development (Computer Software) Re: There is a circle inscribed in a square, shown on the above figure. If [#permalink] ### Show Tags 23 Feb 2017, 20:38 MathRevolution wrote: Attachment: 1.png There is a circle inscribed in a square, shown on the above figure. If the length of the square is 2, what is the area of one of the 4 regions shaded? A. $$1-π$$ B. $$2-π$$ C. $$4-π$$ D. $$1-(\frac{π}{2})$$ E. $$1-(\frac{π}{4})$$ area of one of the 4 regions shaded = (area of Square - area of circle)/4 = (4-pi)/4 = 1- pi/4 Hence Option E is correct Hit Kudos if you liked it Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6028 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: There is a circle inscribed in a square, shown on the above figure. If [#permalink] ### Show Tags 26 Feb 2017, 21:28 ==> The area of the square-area of the $$circle=2^2- π=4- π$$, and since it asks for one of the 4 regions shaded, you get $$\frac{4- π}{4}=1-(\frac{π}{4})$$. The answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Director
Joined: 12 Nov 2016
Posts: 771
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: There is a circle inscribed in a square, shown on the above figure. If  [#permalink]

### Show Tags

08 Mar 2017, 22:13
Silly mistake- but fixed it- you have to multiply 1 by 1 to get the area of one fourth of the square and then subtract it by the area of the remaining portion of the circle inside it; though, you can just find the area of the circle and divide it by 4. Thus,

1 x 1= 1
pi (1)^2= pi (1) / 4

1- pi(1)/4
Senior Manager
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 433
Location: India
Re: There is a circle inscribed in a square, shown on the above figure. If  [#permalink]

### Show Tags

09 Mar 2017, 01:20
Side of square = diameter of circle = 2 x radius\therefore radius = diameter/2 = 1

Area of shaded region = area of square - area of circle = 2 x2 - pi*1*1 = 4 -pi

Since there are 4 equal parts of the shaded region, area of one shaded region = (4 -pi)/4 = 1 - pi/4

Option E

_________________

GMAT Mentors

Intern
Joined: 04 Sep 2017
Posts: 18
Re: There is a circle inscribed in a square, shown on the above figure. If  [#permalink]

### Show Tags

29 Jan 2018, 20:23
Can someone please explain to me why the area of the circle isnt pi*radius^2? Why is it just pi?
Math Expert
Joined: 02 Aug 2009
Posts: 6549
Re: There is a circle inscribed in a square, shown on the above figure. If  [#permalink]

### Show Tags

29 Jan 2018, 21:04
teamryan15 wrote:
Can someone please explain to me why the area of the circle isnt pi*radius^2? Why is it just pi?

The area is $$pi*r^2$$ itself but the length of square is 2, which is equal to diameter. Hence radius is 2/2=1
So r^2=1^2=1..
What is left is pi*r^2=pi*1^2=pi
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Re: There is a circle inscribed in a square, shown on the above figure. If &nbs [#permalink] 29 Jan 2018, 21:04
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.