Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Jul 2016, 02:05
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

O is the center of the circle where AD = AE. What is the

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
User avatar
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait
Followers: 14

Kudos [?]: 236 [0], given: 0

O is the center of the circle where AD = AE. What is the [#permalink]

Show Tags

New post 10 Apr 2007, 12:05
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

O is the center of the circle where AD = AE. What is the measure of the angle BOC in degrees ?

(1) The length of CO is 6.
(2) The arc BC is 2 pi long.

NOTICE: the question has been edited for errors mentioned by fellow members. Sorry
Attachments

DF1.jpg
DF1.jpg [ 6.9 KiB | Viewed 756 times ]


Last edited by Mishari on 11 Apr 2007, 04:21, edited 2 times in total.
Intern
Intern
avatar
Joined: 11 Feb 2007
Posts: 30
Followers: 0

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

 [#permalink]

Show Tags

New post 10 Apr 2007, 16:03
i think there might be something wrong with the question.

in an inscribed triangle, if one side is the diameter and the opposite vertex is on the circle, that vertex should have an angle of 90. that would make the other two sides 45 degrees since the sides are isoceles.

yet in statement 1, it says that ADE is 50. i realise the figure might not be too scale, but is the assumption that the vertices of the triangle lie on the circle???
VP
VP
User avatar
Joined: 08 Jun 2005
Posts: 1146
Followers: 6

Kudos [?]: 164 [0], given: 0

Answer [#permalink]

Show Tags

New post 11 Apr 2007, 10:36
Hi all

O is the center (given) and CO therefor is the circle radii R = 6 - statement (1).

The arc BC is 2 pi long (given) - statement (2).

circumference of the circle is 2Rpi = 12pi

the ratio of BC / circumference is 2 / 12

2 / 12 * 360 = 60

we can now tell that BOC = 60 degrees

so my answer is (C)

I didn't gave any weight to AD = AE - is that correct ?

:-D

Last edited by KillerSquirrel on 13 Apr 2007, 00:04, edited 2 times in total.
Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 879
Followers: 6

Kudos [?]: 596 [0], given: 33

GMAT ToolKit User
Re: Geometry - Intermediate [#permalink]

Show Tags

New post 12 Apr 2007, 08:50
Mishari wrote:
O is the center of the circle where AD = AE. What is the measure of the angle BOC in degrees ?

(1) The length of CO is 6.
(2) The arc BC is 2 pi long.

NOTICE: the question has been edited for errors mentioned by fellow members. Sorry


Arc length BC ( in degrees ) = Angle subtended in the center by the arc* (Pi/180)*radius

from here you know that we need both the statements to answer the question.

There the choice is "C".
Director
Director
User avatar
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait
Followers: 14

Kudos [?]: 236 [0], given: 0

 [#permalink]

Show Tags

New post 12 Apr 2007, 11:45
Correct

OA: C
  [#permalink] 12 Apr 2007, 11:45
Display posts from previous: Sort by

O is the center of the circle where AD = AE. What is the

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.