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

 It is currently 03 May 2015, 22:21

### 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

# Length of Minor arc given internal angle - GmatPrep

Author Message
TAGS:
Manager
Status: Applying Now
Joined: 21 Nov 2009
Posts: 65
WE: Project Management (Manufacturing)
Followers: 3

Kudos [?]: 80 [0], given: 3

Length of Minor arc given internal angle - GmatPrep [#permalink]  13 Dec 2009, 11:49
00:00

Difficulty:

(N/A)

Question Stats:

67% (00:00) correct 33% (00:00) wrong based on 13 sessions
Got the following question. Wondering how to solve it

[Reveal] Spoiler:
A

Attachments

lengthOfMinorArc.GIF [ 8.86 KiB | Viewed 1995 times ]

_________________

If you like my post, consider giving me a kudos. THANKS!

VP
Joined: 05 Mar 2008
Posts: 1473
Followers: 11

Kudos [?]: 216 [0], given: 31

Re: Length of Minor arc given internal angle - GmatPrep [#permalink]  13 Dec 2009, 12:05
msunny wrote:
Got the following question. Wondering how to solve it

[Reveal] Spoiler:
A

Lets say the circle has center C
PCO angle = 70 (by definition since PRO = 35)
Since lines are parallel QCR also has 70
OR = 180

70 + 70 + 180 = 320 therefore PCQ = 40 degrees

circumference = 18pi

40/360 * 18pi = 2pi
Intern
Joined: 13 Oct 2009
Posts: 22
Schools: ISB, UCLA,Darden
Followers: 0

Kudos [?]: 4 [0], given: 1

Re: Length of Minor arc given internal angle - GmatPrep [#permalink]  16 Dec 2009, 23:34
Hi lagomez,
when two lines are parallel and there are two transversals cuttting them, then it doesn't necessarily mean that the angles should be equal i.e. anlge PCO is not necessary equal to angle PRO.

My method was :
Let C be the centre of circle
Consider triangle CPR, since CP=CR(radius), angle CPR=angle CRP=35
which means that angle CPQ=70

Consider triangle CPQ.
Therefor,angle PCQ=180-140=40

Hence, length of minor arc PQ=9*(40pi/180)=2pi

lagomez wrote:
msunny wrote:
Got the following question. Wondering how to solve it

[Reveal] Spoiler:
A

Lets say the circle has center C
PCO angle = 70 (by definition since PRO = 35)
Since lines are parallel QCR also has 70
OR = 180

70 + 70 + 180 = 320 therefore PCQ = 40 degrees

circumference = 18pi

40/360 * 18pi = 2pi
Re: Length of Minor arc given internal angle - GmatPrep   [#permalink] 16 Dec 2009, 23:34
Similar topics Replies Last post
Similar
Topics:
7 The length of minor arc AB is twice the length of minor arc 10 11 Feb 2012, 13:55
Major Arc..Minor Arc 3 05 Jul 2009, 13:37
The length of minor arc AB is twice the length of minor arc 3 07 Jul 2008, 16:16
How can you differentiate inscribed angle from minor arc 2 20 Jun 2008, 00:37
The length of minor arc AB is twice the length of minor arc 7 17 Dec 2007, 12:48
Display posts from previous: Sort by