 It is currently 26 Mar 2019, 04:21 ### 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. # In the figure above, the circle is inscribed in a square tha  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator  Joined: 18 Apr 2015
Posts: 5917
Followers: 96

Kudos [?]: 1158 , given: 5488

In the figure above, the circle is inscribed in a square tha [#permalink]
Expert's post 00:00

Question Stats: 51% (00:59) correct 48% (00:46) wrong based on 27 sessions
Attachment: circle.jpg [ 16.42 KiB | Viewed 1368 times ]

In the figure above, the circle is inscribed in a square that has area 16.

 Quantity A Quantity B The area of the shaded region 1

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

_________________ Director  Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 546  , given: 88

Re: In the figure above, the circle is inscribed in a square tha [#permalink]
2
KUDOS
We are given that the area of the square is $$16$$ hence it must be that each side of the square is $$4$$
Since the circle is inscribed in the square the diameter of the circle equals the length of a side of the square.

Therefore, the radius of the circle $$= 2$$

area of the circle is $$\pi r^2 = \pi 2^2 = 4\pi$$
subtracting area of the circle from the area of the square we get,

the combined area of the four portions outside the circle but inside the square
that area is $$16 - 4\pi$$
we are required to find the area of one of those 4 portions.
which is equal to $$(16-4)\pi/4 = 4 - \pi$$
roughly $$\pi$$ is $$3.14$$. $$4-3.14$$ = a value less than 1
Therefore option B is bigger
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Intern Joined: 06 Jul 2018
Posts: 31
Followers: 0

Kudos [?]: 1 , given: 5

Re: In the figure above, the circle is inscribed in a square tha [#permalink]
b is greater
Director Joined: 09 Nov 2018
Posts: 509
Followers: 0

Kudos [?]: 21 , given: 1

Re: In the figure above, the circle is inscribed in a square tha [#permalink]
B Re: In the figure above, the circle is inscribed in a square tha   [#permalink] 18 Jan 2019, 21:20
Display posts from previous: Sort by

# In the figure above, the circle is inscribed in a square tha  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.