It is currently 20 Feb 2018, 00:00

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the figure above, equilateral triangle ABC is inscribed in the

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

### Hide Tags

Current Student
Joined: 20 Jan 2014
Posts: 175
Location: India
Concentration: Technology, Marketing
Re: In the figure above, equilateral triangle ABC is inscribed in the [#permalink]

### Show Tags

21 Dec 2014, 21:24
Thanks Karishma and Bunnuel ,

I was doing it wrong - This shows difference between theoretical knowledge and practical application.
Lesson learnt hard way
_________________

Consider +1 Kudos Please

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3326
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: In the figure above, equilateral triangle ABC is inscribed in the [#permalink]

### Show Tags

15 Apr 2016, 09:41
ulm wrote:
Attachment:
Circle.JPG
In the figure above, equilateral triangle ABC is inscribed in the circle. If the length of arc ABC is 24, what is the approximate diameter of the circle?

A. 5
B. 8
C. 11
D. 15
E. 19

Since the triangle is an equilateral triangle , we can say

AB = BC = AC ( Property of Equilateral Triangle )

Further the arc lengths AB = BC = AC

We are given AB + BC = 24

Or, 2AB (AB + AB ) = 24

Or, AB = 12

As AB = AC , we can say AC = 12

Thus the total circumference of the circle is 12 + 12 + 12 = 36

Now, 2πr = 36

So, πr = 18

Or, 22/7 r = 18

or, r = 5.72

So, Diameter will be 2r = 2*5.72 => ~ 12

Since this is a question of approximation we choose option (C) 11
_________________

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 )

Director
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 515
Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: 337 Q168 V169
WE: Education (Education)
Re: In the figure above, equilateral triangle ABC is inscribed in the [#permalink]

### Show Tags

08 Jun 2017, 15:41
2
This post received
KUDOS
Top Contributor
Attached is a visual that should help.
Attachments

Screen Shot 2017-06-08 at 4.31.56 PM.png [ 225.94 KiB | Viewed 508 times ]

_________________

Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and online via Skype, since 2002.

You can download my official test-taker score report directly from the Pearson Vue website: https://tinyurl.com/y8zh6qby Date of Birth: 09 December 1979.

GMAT Action Plan - McElroy Tutoring

Intern
Joined: 04 Sep 2017
Posts: 5
Re: In the figure above, equilateral triangle ABC is inscribed in the [#permalink]

### Show Tags

26 Dec 2017, 07:38
Can someone help me out here?

everything makes sense up to C=36.

Since the circumference is 36 and Circumference=D*pi or 2*r*pi.

Therefore, shouldnt the diameter just be 36? please help.
Math Expert
Joined: 02 Sep 2009
Posts: 43828
Re: In the figure above, equilateral triangle ABC is inscribed in the [#permalink]

### Show Tags

26 Dec 2017, 07:48
teamryan15 wrote:
Can someone help me out here?

everything makes sense up to C=36.

Since the circumference is 36 and Circumference=D*pi or 2*r*pi.

Therefore, shouldnt the diameter just be 36? please help.

$$c=\frac{24*3}{2}=36=\pi{d}$$;

$$d=\frac{36}{\pi}\approx{\frac{36}{3.14}}\approx{11.5}$$.
_________________
Re: In the figure above, equilateral triangle ABC is inscribed in the   [#permalink] 26 Dec 2017, 07:48

Go to page   Previous    1   2   [ 25 posts ]

Display posts from previous: Sort by

# In the figure above, equilateral triangle ABC is inscribed in the

 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®.