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

It is currently 24 Aug 2019, 00:03

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

What is the area of the shaded region, formed by the

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
Joined: 21 Oct 2013
Posts: 414
What is the area of the shaded region, formed by the  [#permalink]

Show Tags

New post 20 Jul 2014, 02:53
2
11
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

68% (02:19) correct 32% (02:47) wrong based on 166 sessions

HideShow timer Statistics

Image
What is the area of the shaded region, formed by the intersection of an equilateral triangle with area √3, and an inscribed circle, as shown above?

A. √3 - 3π

B. √3 - (4/3)π

C. (3√3)/4

D. √3 - π/3

E. 3√3 - π

Attachment:
Drawing.png
Drawing.png [ 14.33 KiB | Viewed 4407 times ]
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57281
What is the area of the shaded region, formed by the  [#permalink]

Show Tags

New post 20 Jul 2014, 05:43
8
1
goodyear2013 wrote:
Image

What is the area of the shaded region, formed by the intersection of an equilateral triangle with area √3, and an inscribed circle, as shown above?

A. √3 -3π
B. √3 - (4/3)π
C. (3√3) / 4
D. √3 - π/3
E. 3√3 - π


You can solve this by process of elimination. The answer should be {area of the triangle} - {area of the circle} = √3 - {something with π}.

A. √3 -3π --> negative. Discard.

B. √3 - (4/3)π --> negative. Discard.

C. (3√3) / 4 --> no π. Discard.

D. √3 - π/3. Keep.

E. 3√3 - π. Greater than √3 (area of the triangle). Discard.

Answer: D.
_________________
General Discussion
Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 667
Location: India
GPA: 3.21
WE: Business Development (Other)
Reviews Badge
Re: What is the area of the shaded region, formed by the  [#permalink]

Show Tags

New post 20 Jul 2014, 05:12
2
1
goodyear2013 wrote:
Attachment:
Drawing.png


What is the area of the shaded region, formed by the intersection of an equilateral triangle with area √3, and an inscribed circle, as shown above?

A. √3 -3π
B. √3 - (4/3)π
C. (3√3) / 4
D. √3 - π/3
E. 3√3 - π

Attachment:
Drawing2.png

Is the formula for circle inscribed in the triangle the best way to solve this question?


The question is not as difficult as it looks but under time pressure,chances are you will get it wrong

Area of Eq. Triangle =\(\sqrt{3}\)/4*a^2=\(\sqrt{3}\) where a is the side of the triangle

Solve for "a" and we get a=2

Now radius of the circle is nothing but the radius of in circle. Radius of in circle for a equilateral triangle is given by
r=\(\sqrt{3}/6\) *a

or \(r=\frac{1}{\sqrt{3}}\)

Area of the shaded region: Area of Triangle - Area of circle

\(\sqrt{3}\)- π/3

Ans is D
_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”
Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 667
Location: India
GPA: 3.21
WE: Business Development (Other)
Reviews Badge
Re: What is the area of the shaded region, formed by the  [#permalink]

Show Tags

New post 20 Jul 2014, 06:09
Bunuel wrote:
goodyear2013 wrote:
Attachment:
Drawing.png


What is the area of the shaded region, formed by the intersection of an equilateral triangle with area √3, and an inscribed circle, as shown above?

A. √3 -3π
B. √3 - (4/3)π
C. (3√3) / 4
D. √3 - π/3
E. 3√3 - π

Attachment:
Drawing2.png

Is the formula for circle inscribed in the triangle the best way to solve this question?


You can solve this by process of elimination. The answer should be {area of the triangle minus} - {area of the circle} = √3 - {something with π}.

A. √3 -3π --> negative. Discard.

B. √3 - (4/3)π --> negative. Discard.

C. (3√3) / 4 --> no π. Discard.

D. √3 - π/3. Keep.

E. 3√3 - π. Greater than √3 (area of the triangle). Discard.

Answer: D.


Too Good...... :clap: :clap:

Where was the Math in this ???

FYI, Time to get this answer correct on avg in the thread in 3 min 32 sec...Wonder how much time did you take on this??
_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57281
Re: What is the area of the shaded region, formed by the  [#permalink]

Show Tags

New post 20 Jul 2014, 06:30
goodyear2013 wrote:
Attachment:
Drawing.png


What is the area of the shaded region, formed by the intersection of an equilateral triangle with area √3, and an inscribed circle, as shown above?

A. √3 -3π
B. √3 - (4/3)π
C. (3√3) / 4
D. √3 - π/3
E. 3√3 - π

Attachment:
Drawing2.png

Is the formula for circle inscribed in the triangle the best way to solve this question?


Check other Shaded Region Problems in our Special Questions Directory.

Hope it helps.
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 12082
Re: What is the area of the shaded region, formed by the  [#permalink]

Show Tags

New post 14 Feb 2019, 01:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: What is the area of the shaded region, formed by the   [#permalink] 14 Feb 2019, 01:44
Display posts from previous: Sort by

What is the area of the shaded region, formed by the

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





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