Last visit was: 22 Apr 2026, 17:48 It is currently 22 Apr 2026, 17:48
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
delwar2
User avatar
Joined: 10 May 2009
Last visit: 06 Dec 2010
Posts: 5
Own Kudos:
1
Posts: 5
Kudos: 1
Circle question 30 Jun 2009, 20:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
A circle with diameter OR is 18. An angle of 35 degrees is formed from R to circumference at point N. Chord NM is parallel to OR. What is the dimension of minor arc NM.

A) 2pi
B) 9pi/4
C) 7pi/2
D) 9pi/2
E) 3pi

Thanks guys.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
maliyeci
User avatar
Joined: 23 Jun 2009
Last visit: 04 Nov 2016
Posts: 200
Own Kudos:
250
Given Kudos: 80
Location: Turkey
Concentration: Finance and Accounting
Schools:UPenn, UMich, HKS, UCB, Chicago
GMAT 2: 740 Q49 V41
Posts: 200
Kudos: 250
Circle question 30 Jun 2009, 23:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Answer is c. The angle that see chord nm is equal to angle ORN because of parallelism. So that angle is 35 degrees. So the angle of the chord is 70 degrees.
Applying the formula = 70/360 * 18 * pi = 7pi/2
User avatar
delwar2
User avatar
Joined: 10 May 2009
Last visit: 06 Dec 2010
Posts: 5
Own Kudos:
1
Posts: 5
Kudos: 1
Circle question 01 Jul 2009, 03:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hmmm according to GMAT the answer is 2pi. any other thoughts?

thanks guys,

tariq
User avatar
maliyeci
User avatar
Joined: 23 Jun 2009
Last visit: 04 Nov 2016
Posts: 200
Own Kudos:
250
Given Kudos: 80
Location: Turkey
Concentration: Finance and Accounting
Schools:UPenn, UMich, HKS, UCB, Chicago
GMAT 2: 740 Q49 V41
Posts: 200
Kudos: 250
Circle question 01 Jul 2009, 04:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Yes NM = 2 pi. ON = 3,5 pi, NM= 2pi and MR=3,5 pi. Total makes 9pi. Half the circle. Angle of ON = 70, NM=40, MR=70. I confused the chords.
User avatar
delwar2
User avatar
Joined: 10 May 2009
Last visit: 06 Dec 2010
Posts: 5
Own Kudos:
1
Posts: 5
Kudos: 1
Circle question 01 Jul 2009, 04:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Could you please explain how you got those angles???

thanks,

tariq
User avatar
aknine
User avatar
Joined: 07 Jun 2009
Last visit: 30 Aug 2014
Posts: 73
Own Kudos:
101
Given Kudos: 9
Posts: 73
Kudos: 101
Circle question 01 Jul 2009, 04:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I would agree with A i.e. 2 pi

Please view the attachment to understand better.
Given R= 9
circumference= 2 pi R

angle NRO= 35degree, therefore, angle subtended at the center angle NXO= 70 degree.

18 pi / 360 degrees = ON / 70 degrees (this would give the length of the arc ON). On solving we get ON= 7 pi/2.

Now, ON= MR= 7 pi/2, because NM is parallel to OR.
We need to find arc NM= arc OR-arc ON-arc MR= 9pi-7pi= 2pi
Attachments

circle problem.jpg
circle problem.jpg [ 15.36 KiB | Viewed 1502 times ]

User avatar
maliyeci
User avatar
Joined: 23 Jun 2009
Last visit: 04 Nov 2016
Posts: 200
Own Kudos:
250
Given Kudos: 80
Location: Turkey
Concentration: Finance and Accounting
Schools:UPenn, UMich, HKS, UCB, Chicago
GMAT 2: 740 Q49 V41
Posts: 200
Kudos: 250
Circle question 01 Jul 2009, 04:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
delwar2
Could you please explain how you got those angles???

thanks,

tariq
Show more
This graphic exactly shows everything. It is given that, ORN=35 degrees. So the angle of chord that this angle sees is 70 degrees. Because of parallelism, the theoretic angle MOR = 35 degrees too. So the angle of chord that this angle sees is 70 degrees too. Since a half circle is 180 degrees. You can see that MN will be 180-70-70=40 degrees. It means the length of that chord will be 40/360=1/9 of circle. Circumference of circle is 18pi so the length of chord is 2 pi.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109754 posts