GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 01 Jun 2020, 07:43

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

The area of the circle above is and the perimeter of sector OABC is .

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

Hide Tags

Find Similar Topics 
Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 516
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
The area of the circle above is and the perimeter of sector OABC is .  [#permalink]

Show Tags

New post Updated on: 18 Jul 2019, 12:09
1
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

74% (02:03) correct 26% (02:56) wrong based on 35 sessions

HideShow timer Statistics

Image


The area of the circle above is 49\(\pi\) and the perimeter of sector OABC is 14 + \(\frac{35{\pi}}{12}\). What is the value of t?

(A) 56

(B) 72

(C) 75

(D) 80

(E) 85


Attachment:
2rrv58w.jpg
2rrv58w.jpg [ 14.97 KiB | Viewed 270 times ]

Originally posted by AbdurRakib on 10 Jun 2016, 04:18.
Last edited by Bunuel on 18 Jul 2019, 12:09, edited 2 times in total.
Edited the question.
Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 266
Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: The area of the circle above is and the perimeter of sector OABC is .  [#permalink]

Show Tags

New post 10 Jun 2016, 08:00
Answer is 75 : C

Given Area = 49*pi, we know that radius is 7. Therefore given perimeter of sector OABC is 7 + arc ABC + 7 = 14 + 35*pi / 12.

So if angle of arc ABC is 360 * Arc/circumference.
Director
Director
User avatar
V
Joined: 05 Mar 2015
Posts: 936
Reviews Badge
Re: The area of the circle above is and the perimeter of sector OABC is .  [#permalink]

Show Tags

New post 22 Jun 2016, 10:11
AbdurRakib wrote:
Image


The area of the circle above is 49\(\pi\) and the perimeter of sector OABC is 14 + \(\frac{35{\pi}}{12}\). What is the value of t?

(A) 56

(B) 72

(C) 75

(D) 80

(E) 85

Area =49\(\pi\)
\(\pi\)(7)^2----------->radius=7
perimeter=OA+OC+arc ABC
7+7+2\(\pi\)*7*c/360=14+\(\frac{35{\pi}}{12}\)
C=75

Ans C
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4995
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: The area of the circle above is and the perimeter of sector OABC is .  [#permalink]

Show Tags

New post 22 Jun 2016, 10:44
AbdurRakib wrote:
Image


The area of the circle above is 49\(\pi\) and the perimeter of sector OABC is 14 + \(\frac{35{\pi}}{12}\). What is the value of t?

(A) 56

(B) 72

(C) 75

(D) 80

(E) 85


\(\pi\)\(r^2\) = 49\(\pi\) ; So r = 7 = AO = OC

Perimeter of sector = 2\(\pi\)\(r\)*\(\frac{t}{360}\) + \(2r\)

Or, 2\(\pi\)\(7\)*\(\frac{t}{360}\) + \(14\) = 14 + \(\frac{35{\pi}}{12}\)

Or, 14\(\pi\)*\(\frac{t}{360}\) = \(\frac{35{\pi}}{12}\)

Or, \(\frac{t}{15}\) = \(5\)

Or, t = 75

Hence answer will be (C)

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
GMAT Club Bot
Re: The area of the circle above is and the perimeter of sector OABC is .   [#permalink] 22 Jun 2016, 10:44

The area of the circle above is and the perimeter of sector OABC is .

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





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