GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 07 Apr 2020, 09:59

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

A square is inscribed in a circle, which in turn is circumscribed by a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Director
Director
avatar
D
Joined: 22 Feb 2018
Posts: 601
GMAT ToolKit User CAT Tests
A square is inscribed in a circle, which in turn is circumscribed by a  [#permalink]

Show Tags

New post 20 Nov 2019, 22:34
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

44% (03:26) correct 56% (03:39) wrong based on 16 sessions

HideShow timer Statistics

A square is inscribed in a circle, which in turn is circumscribed by another square as shown (figure not drawn to scale). If the area of the circle is 64π square centimeter, the area of the shaded portion will be:

Refer the attached figure.

A) 8π
B) 16
C) 12π
D) 32
E) 48

Attachments

Square -circle- square.jpg
Square -circle- square.jpg [ 17.49 KiB | Viewed 265 times ]

Senior Manager
Senior Manager
avatar
G
Joined: 16 Feb 2015
Posts: 355
Location: United States
A square is inscribed in a circle, which in turn is circumscribed by a  [#permalink]

Show Tags

New post 21 Nov 2019, 21:19
Raxit85 wrote:
A square is inscribed in a circle, which in turn is circumscribed by another square as shown (figure not drawn to scale). If the area of the circle is 64π square centimeter, the area of the shaded portion will be:

Refer the attached figure.

A) 8π
B) 16
C) 12π
D) 32
E) 48


Area of Circle = 64π
π*r^2 = 64π
r^2=64; r=8. dia= 16.
For a small square, it will be the diagonal length, so side will be = 16/√2
For a large square, it will be side. i.e 16

So Area of shaded region= 1/4 * [ { 64π - (16/√2)^2 } + { (16^2) - 64π } ]
= 32---- IMO D

:please Please provide kudos, if you find my explanation good Enough :please
GMAT Club Bot
A square is inscribed in a circle, which in turn is circumscribed by a   [#permalink] 21 Nov 2019, 21:19
Display posts from previous: Sort by

A square is inscribed in a circle, which in turn is circumscribed by a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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