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

 It is currently 15 Jan 2019, 21:57

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.

# A circle with a radius of 6 has a square inscribed inside of it. What

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

### Hide Tags

Manager
Joined: 26 Dec 2018
Posts: 122
Location: India
A circle with a radius of 6 has a square inscribed inside of it. What  [#permalink]

### Show Tags

11 Jan 2019, 05:47
1
00:00

Difficulty:

15% (low)

Question Stats:

100% (00:35) correct 0% (00:00) wrong based on 16 sessions

### HideShow timer Statistics

A circle with a radius of 6 has a square inscribed inside of it. What is the area of the black region?
Attachment:

01033-1.gif [ 3.23 KiB | Viewed 173 times ]

A) 23π - 31
B) 36π - 72
C) 63π - 42
D) 24π - 16
E) 30π - 62

_________________

"Press +1 KUDOS"

GOOD LUCK..!!!

"TO SAVE TIME & TROUBLE ON GMATCLUB CHECK THE LINKS BELOW"

1. BEST OF GMATCLUB: PLANS, BOOKS, MOCK TESTS

2. BEST OF GMATCLUB: VERBAL VIDEOS, RIGHT QUESTIONS BEST OF ALL COLLECTIONS

3. MUST TRY PROBLEMS, Interesting Ones ==>
I. PS1, II. PS2, III. PS3, IV. PS4, V. PS5, VI. PS6, VII. PS7

4. TRICKY PROBLEMS..!

5. Best Explanations In Easy Way.!!! ==>
I. PS1, II. PS2, III. PS3, IV. PS4, IV. SC1, V. SC2, VI. SC3, VII. SC4, VIII. SC5,

Manager
Joined: 09 Mar 2018
Posts: 162
Location: India
Re: A circle with a radius of 6 has a square inscribed inside of it. What  [#permalink]

### Show Tags

11 Jan 2019, 09:49
1
UB001 wrote:
A circle with a radius of 6 has a square inscribed inside of it. What is the area of the black region?

A) 23π - 31
B) 36π - 72
C) 63π - 42
D) 24π - 16
E) 30π - 62

Area of black region = Area of O - Area of square

Side of a square will be 6$$\sqrt{2}$$, Since the present triangular region will be a 45-45-90

Area of black region = pi r^2 - s^2
36π - 72

_________________

Currently taking a holistic approach towards GMAT.

Be a good critique, If you don't like my approach.

Manager
Joined: 18 Oct 2018
Posts: 51
Location: India
Concentration: Finance, International Business
GPA: 4
WE: Business Development (Retail Banking)
Re: A circle with a radius of 6 has a square inscribed inside of it. What  [#permalink]

### Show Tags

11 Jan 2019, 10:17
Are of shaded region= area of circle-area of square

Area of circle= pi*r^2= pi*6^2=36 pi
Side of square= 6*2^(1/2)
Thus,area of square= 72

Thus,area of shaded region= 36pi-72
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4332
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: A circle with a radius of 6 has a square inscribed inside of it. What  [#permalink]

### Show Tags

11 Jan 2019, 10:35
UB001 wrote:
A circle with a radius of 6 has a square inscribed inside of it. What is the area of the black region?
Attachment:
01033-1.gif

A) 23π - 31
B) 36π - 72
C) 63π - 42
D) 24π - 16
E) 30π - 62

Diagonal of the square = Diameter of the Circle

Or, $$a√2 = 12$$

Or, $$a^2 = 72$$

Area of the circle = $$πr^2$$

Or, Area of the circle = $$π6^2 = 36π$$

Thus, Area of the shaded region = $$36π - 72$$, Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: A circle with a radius of 6 has a square inscribed inside of it. What &nbs [#permalink] 11 Jan 2019, 10:35
Display posts from previous: Sort by

# A circle with a radius of 6 has a square inscribed inside of it. What

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

 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®.