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

It is currently 21 Jul 2019, 06:56

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

If the circle above has center O and circumference 16π, what the per

  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: 56307
If the circle above has center O and circumference 16π, what the per  [#permalink]

Show Tags

New post 04 Apr 2018, 23:51
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (01:20) correct 9% (02:04) wrong based on 32 sessions

HideShow timer Statistics


Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1234
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: If the circle above has center O and circumference 16π, what the per  [#permalink]

Show Tags

New post 05 Apr 2018, 00:27
Circumference = 16pi

2*pi*r* = 16pi

r = 8.



Perimeter of Sector ABCO = 2*r + length of Arc ABC



length of Arc ABC=

45/360 * circumference = circumference/8 =2pi



Hence Perimeter of Sector ABCO = 2*8 +2pi =16+2pi (Answer D)
_________________
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822
Re: If the circle above has center O and circumference 16π, what the per  [#permalink]

Show Tags

New post 10 Apr 2018, 11:10
Bunuel wrote:
Image

If the circle above has center O and circumference 16π, what the perimeter of sector ABCO?

A. 8+2π

B. 8+4π

C. 8+8π

D. 16+2π

E. 16+4π


Attachment:
45degrees.png


We see that arc ABC is 45/360 = 1/8 of the total circumference of the circle, so the length of arc ABC is 16π x 1/8 = 2π.

Since the diameter of circle O is 16, radii AO and CO are each 8.

Thus, the perimeter of sector ABCO is 2π + 2(8) = 2π +16.

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: If the circle above has center O and circumference 16π, what the per   [#permalink] 10 Apr 2018, 11:10
Display posts from previous: Sort by

If the circle above has center O and circumference 16π, what the per

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





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