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

 It is currently 21 Sep 2018, 22:33

### 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

# Six congruent circles are packed into an equilateral triangle so that

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49300
Six congruent circles are packed into an equilateral triangle so that  [#permalink]

### Show Tags

08 Mar 2018, 21:17
00:00

Difficulty:

75% (hard)

Question Stats:

42% (01:24) correct 58% (01:12) wrong based on 62 sessions

### HideShow timer Statistics

Six congruent circles are packed into an equilateral triangle so that no circle is overlapping and such that circles are tangent to one another or the triangle at any point of contact, as shown above. What is the area of the part of the triangle that is NOT covered by circles?

(1) The radius of each circle is 2
(2) The area of the triangle is $$48+28\sqrt{3}$$

Attachment:

six_circles_packed_1.png [ 16.87 KiB | Viewed 1025 times ]

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 49300
Re: Six congruent circles are packed into an equilateral triangle so that  [#permalink]

### Show Tags

08 Mar 2018, 21:22
Bunuel wrote:

Six congruent circles are packed into an equilateral triangle so that no circle is overlapping and such that circles are tangent to one another or the triangle at any point of contact, as shown above. What is the area of the part of the triangle that is NOT covered by circles?

(1) The radius of each circle is 2
(2) The area of the triangle is $$48+28\sqrt{3}$$

Attachment:
six_circles_packed_1.png

For other subjects:
ALL YOU NEED FOR QUANT ! ! !
_________________
SVP
Joined: 08 Jul 2010
Posts: 2334
Location: India
GMAT: INSIGHT
WE: Education (Education)
Six congruent circles are packed into an equilateral triangle so that  [#permalink]

### Show Tags

09 Mar 2018, 01:07
Bunuel wrote:

Six congruent circles are packed into an equilateral triangle so that no circle is overlapping and such that circles are tangent to one another or the triangle at any point of contact, as shown above. What is the area of the part of the triangle that is NOT covered by circles?

(1) The radius of each circle is 2
(2) The area of the triangle is $$48+28\sqrt{3}$$

Attachment:
The attachment six_circles_packed_1.png is no longer available

Question: Area of uncovered part of triangle = Area of triangle - Area of six circles = ?

Statement 1: The radius of each circle is 2
Using this information the side of the equilateral triangle can be calculated (using 30-60-90 property) as mentioned in attachment, Hence
SUFFICIENT

Statement 2: he area of the triangle is $$48+28\sqrt{3}$$
sing this information the side of the equilateral triangle can be calculated as mentioned in attachment, Hence
SUFFICIENT

Attachments

File comment: www.GMATinsight.com

Screen Shot 2018-03-09 at 1.40.56 PM.png [ 204.67 KiB | Viewed 694 times ]

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

DS Forum Moderator
Joined: 27 Oct 2017
Posts: 723
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
Six congruent circles are packed into an equilateral triangle so that  [#permalink]

### Show Tags

10 Mar 2018, 20:42
2
There is a simpler approach to it, by trying to draw it on paper.
see the Sketch attached.
Attachment:

WhatsApp Image 2018-03-11 at 09.09.28.jpeg [ 99.73 KiB | Viewed 603 times ]

GMATinsight wrote:
Bunuel wrote:

Six congruent circles are packed into an equilateral triangle so that no circle is overlapping and such that circles are tangent to one another or the triangle at any point of contact, as shown above. What is the area of the part of the triangle that is NOT covered by circles?

(1) The radius of each circle is 2
(2) The area of the triangle is $$48+28\sqrt{3}$$

Attachment:
The attachment six_circles_packed_1.png is no longer available

Question: Area of uncovered part of triangle = Area of triangle - Area of six circles = ?

Statement 1: The radius of each circle is 2
Using this information the side of the equilateral triangle can be calculated (using 30-60-90 property) as mentioned in attachment, Hence
SUFFICIENT

Statement 2: he area of the triangle is $$48+28\sqrt{3}$$
sing this information the side of the equilateral triangle can be calculated as mentioned in attachment, Hence
SUFFICIENT

_________________
Six congruent circles are packed into an equilateral triangle so that &nbs [#permalink] 10 Mar 2018, 20:42
Display posts from previous: Sort by

# Events & Promotions

 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®.