Triangle Inscribed in a circle : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 14:34

### 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 June
Open Detailed Calendar

# Triangle Inscribed in a circle

Author Message
Manager
Joined: 01 Jun 2006
Posts: 77
Followers: 1

Kudos [?]: 1 [0], given: 0

Triangle Inscribed in a circle [#permalink]

### Show Tags

14 Dec 2006, 05:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Q) Can any one explain this in some detail...
Attachments

gclubc3.JPG [ 21.57 KiB | Viewed 763 times ]

Director
Joined: 28 Dec 2005
Posts: 921
Followers: 2

Kudos [?]: 46 [0], given: 0

### Show Tags

14 Dec 2006, 05:30
The answer should be 11. The angle if o is the center of angle AOC = 120 degrees.

(360-120)/360*d*pi = 24
approximating pi as 3, we get about 12 or 11.
Senior Manager
Joined: 08 Jun 2006
Posts: 340
Location: Washington DC
Followers: 1

Kudos [?]: 48 [0], given: 0

### Show Tags

14 Dec 2006, 06:09
Getting 11 too
Actual value is 16/sqrt(3)
Manager
Joined: 18 Nov 2006
Posts: 125
Followers: 1

Kudos [?]: 2 [0], given: 0

### Show Tags

15 Dec 2006, 11:20
equilateral Trngle -> angle A =60 -> angle at the center(angle AOC) =2*inscribed angle =2*60=120 ..this is a theorem ..u can just remember it.

now, 360-120= 240 angle correspondes to 24, length of the given arc.
the circumference is Pi*d=3.14*d corres. to 360 degree that is 36 length.

-> d= 36/Pi=36/3.14 = slightly less than 12..that will be 11 from the answer choices..
15 Dec 2006, 11:20
Display posts from previous: Sort by