Length of Minor arc given internal angle - GmatPrep : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 04:12

### 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
Manager
Status: Applying Now
Joined: 21 Nov 2009
Posts: 63
WE: Project Management (Manufacturing)
Followers: 3

Kudos [?]: 155 [0], given: 3

Length of Minor arc given internal angle - GmatPrep [#permalink]

### Show Tags

13 Dec 2009, 11:49
00:00

Difficulty:

(N/A)

Question Stats:

50% (00:00) correct 50% (04:17) wrong based on 14 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Got the following question. Wondering how to solve it

[Reveal] Spoiler:
A

Attachments

lengthOfMinorArc.GIF [ 8.86 KiB | Viewed 2285 times ]

_________________

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

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

Kudos [?]: 261 [0], given: 31

Re: Length of Minor arc given internal angle - GmatPrep [#permalink]

### Show Tags

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 [?]: 13 [0], given: 1

Re: Length of Minor arc given internal angle - GmatPrep [#permalink]

### Show Tags

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
Display posts from previous: Sort by