Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 20 Jul 2019, 05:22

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.

Close

Request Expert Reply

Confirm Cancel

In the circle with center O above, PS = 8. If x = 75, then what is the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56303
In the circle with center O above, PS = 8. If x = 75, then what is the  [#permalink]

Show Tags

New post 20 Jul 2018, 00:22
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (02:38) correct 22% (03:08) wrong based on 42 sessions

HideShow timer Statistics


Manager
Manager
avatar
G
Joined: 28 Jun 2018
Posts: 153
Location: India
Concentration: Finance, Marketing
Schools: CUHK '21 (II)
GMAT 1: 650 Q49 V30
GPA: 4
GMAT ToolKit User Premium Member Reviews Badge
Re: In the circle with center O above, PS = 8. If x = 75, then what is the  [#permalink]

Show Tags

New post 20 Jul 2018, 01:09
1
Answer id D

just use right angle triangle property with angles \(90^{\circ}\), \(60^{\circ}\), \(30^{\circ}\)
sides will be in ratio = 2 : \(\sqrt{3}\): 1
we know radius = 4 also hypotenuse

so other sides can be found out and as we know sector angle = \(30^{\circ}\)
we can find sector circumference.
_________________
Senior Manager
Senior Manager
User avatar
D
Joined: 18 Jun 2018
Posts: 267
Premium Member
Re: In the circle with center O above, PS = 8. If x = 75, then what is the  [#permalink]

Show Tags

New post 20 Jul 2018, 01:09
Bunuel wrote:
Image
In the circle with center O above, PS = 8. If x = 75, then what is the perimeter of the shaded region?

A. 6- 2 √3
B. 2π/3
C. 2π/3 + 8
D. 2π/3 - 2√3 + 6
E. 2π/3 + 2√3 + 6


Attachment:
2018-07-20_1119.png


OA:D
Radius of circle :8/2 =4

In 30-60-90 triangle , sides are in ratio of \(a:\sqrt{3}a:2a\).
\(2a=radius=4, a=2\)
Other sides of triangle are \(2, 2\sqrt{3}\)

Perimeter of shaded area = \(2*\pi*4*\frac{30}{360}+2+(4-2\sqrt{3})\)
=\(\frac{{2\pi}}{3}+6-2\sqrt{3}\)
Intern
Intern
avatar
B
Joined: 03 Feb 2016
Posts: 10
In the circle with center O above, PS = 8. If x = 75, then what is the  [#permalink]

Show Tags

New post 20 Jul 2018, 09:22
Bunuel wrote:
Image
In the circle with center O above, PS = 8. If x = 75, then what is the perimeter of the shaded region?

A. 6- 2 √3
B. 2π/3
C. 2π/3 + 8
D. 2π/3 - 2√3 + 6
E. 2π/3 + 2√3 + 6


Attachment:
2018-07-20_1119.png


OQ=4 (RADIUS)
QS=2 (30-60-90)
OS= 2√3
QR= 30/360 (2*π*4)=2π/3
SO PERIMETER,
Option D. 2π/3 - 2√3 + 6
GMAT Club Bot
In the circle with center O above, PS = 8. If x = 75, then what is the   [#permalink] 20 Jul 2018, 09:22
Display posts from previous: Sort by

In the circle with center O above, PS = 8. If x = 75, then what is the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne