Last visit was: 01 May 2026, 21:46 It is currently 01 May 2026, 21:46
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
Sub 505 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 01 May 2026
Posts: 110,001
Own Kudos:
812,352
 [2]
Given Kudos: 105,976
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,001
Kudos: 812,352
 [2]
A sector of a circle has a central angle of 270° and a radius of 2. 23 Feb 2022, 05:15
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

87% (00:47) correct 13% (00:48) wrong based on 54 sessions

History

Date
Time
Result
Not Attempted Yet
A sector of a circle has a central angle of 270° and a radius of 2. What is the area of the sector?

A. \(π\)

B. \(2π\)

C. \(3π\)

D. \(4π\)

E. \(8π\)
ShowHide Answer
Official Answer
C
User avatar
rajatchopra1994
User avatar
Joined: 16 Feb 2015
Last visit: 22 Jun 2024
Posts: 1,052
Own Kudos:
1,310
 [1]
Given Kudos: 30
Location: United States
Posts: 1,052
Kudos: 1,310
 [1]
A sector of a circle has a central angle of 270° and a radius of 2. 02 Apr 2022, 11:50
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Explanation:

270° is 3/4 of circle area.

Area of circle = πr^2
4π
3/4th area = 4π x 3/4 = 3π

IMO-C

Posted from my mobile device
User avatar
Nefertiti9
User avatar
Joined: 27 Oct 2021
Last visit: 18 Aug 2022
Posts: 110
Own Kudos:
61
 [1]
Given Kudos: 130
Location: India
Schools: Booth '24 Tuck '24 Tepper '24 ISB '23
Schools: Booth '24 Tuck '24 Tepper '24 ISB '23
Posts: 110
Kudos: 61
 [1]
A sector of a circle has a central angle of 270° and a radius of 2. 02 Apr 2022, 12:33
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMO C
The Area of sector is proportional to its central angle
now the ratio of 270/360 are in ration of 3:4
so the area will be in the same ration
Area of sector is 3/4* π (2)(2)= 3π
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,902
Own Kudos:
5,460
 [1]
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,902
Kudos: 5,460
 [1]
A sector of a circle has a central angle of 270° and a radius of 2. 04 Apr 2022, 11:15
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A sector of a circle has a central angle of 270° and a radius of 2. What is the area of the sector?

A. \(π\)

B. \(2π\)

C. \(3π\)

D. \(4π\)

E. \(8π\)
Show more
\(\frac{270}{360}*π*2^2\)

Or, \(=\frac{27}{36}*π*4\)

Or, \(=\frac{27}{9}π\)

Or, \(=3π\), Answer must be (C)
Moderators:
Bunuel
Math Expert
110001 posts
Krunaal
Tuck School Moderator
852 posts