 It is currently 12 Aug 2020, 10:27 ### 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. # The square is inscribed within the circle and has a side len  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 12609
Followers: 268

Kudos [?]: 3169 , given: 11659

The square is inscribed within the circle and has a side len [#permalink]
Expert's post 00:00

Question Stats: 100% (00:53) correct 0% (00:00) wrong based on 8 sessions
Attachment: GRE The square is inscribed within the circle and has a side length.jpg [ 10.99 KiB | Viewed 159 times ]

The square is inscribed within the circle and has a side length of $$\sqrt{2}$$ . What is the area of the shaded portion of the drawing?

A. $$2-\pi$$

B. $$\pi -2$$

C. $$\pi - \sqrt{2}$$

D. $$\pi -4$$

E. $$4-\pi$$
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Intern Joined: 25 Jul 2020
Posts: 30
Followers: 0

Kudos [?]: 14 , given: 2

Re: The square is inscribed within the circle and has a side len [#permalink]
The square as a side of \sqrt{2}. Now draw a line from the center of the circle to a vertex of the square, and let the radius of the circle be r. By Pythagoras' theorem,

$$(\sqrt{2}/2)^2 + (\sqrt{2}/2)^2 = r^2. 1 = r^2 \rightarrow r = 1.$$

Hence the area of the shaded region is pi - 2 (area of the square) => B.
Intern Joined: 15 Mar 2020
Posts: 16
Followers: 0

Kudos [?]: 14 , given: 7

Re: The square is inscribed within the circle and has a side len [#permalink]
S_sircle = Pi*r^2
S_square = 2
So the choice B looks like what we need S = something - 2
To find the S_circle we need to find the r.
R is a side of a right triangle inscribed into the square.
Its side is equal to (√/2)^2+(√/2)^2=2 => r = 2/2 = 1
S_circle = Pi Re: The square is inscribed within the circle and has a side len   [#permalink] 27 Jul 2020, 11:55
Display posts from previous: Sort by

# The square is inscribed within the circle and has a side len  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®.