Last visit was: 19 Nov 2025, 03:44 It is currently 19 Nov 2025, 03:44
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
505-555 Level|   Geometry|      
User avatar
PathFinder007
User avatar
Joined: 10 Mar 2014
Last visit: 21 Oct 2018
Posts: 129
Own Kudos:
733
 [16]
Given Kudos: 13
Posts: 129
Kudos: 733
 [16]
What is the radius of the circle shown? Updated on: 02 Aug 2014, 10:24
Originally posted by PathFinder007 on 02 Aug 2014, 06:18.
Last edited by Bunuel on 02 Aug 2014, 10:24, edited 1 time in total.
Edited the question.
3
Kudos
Add Kudos
13
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

71% (00:52) correct 29% (00:54) wrong based on 560 sessions

History

Date
Time
Result
Not Attempted Yet
Attachment:
circle_radius.JPG
circle_radius.JPG [ 17.07 KiB | Viewed 16174 times ]
What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.
ShowHide Answer
Official Answer
E
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,379
Own Kudos:
778,193
 [3]
Given Kudos: 99,977
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: 105,379
Kudos: 778,193
 [3]
What is the radius of the circle shown? 02 Aug 2014, 10:27
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
PathFinder007

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.
Show more

This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.
avatar
reachskishore
avatar
Joined: 21 Nov 2016
Last visit: 19 Dec 2018
Posts: 36
Own Kudos:
32
Given Kudos: 23
Posts: 36
Kudos: 32
What is the radius of the circle shown? 15 May 2017, 10:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
PathFinder007

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.

This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.
Show more


Hello Bunuel,

Say, in the stem, if the angle 'O' is given as 90 degrees. Then would it be possible to find the radius of the using the fact that 'O' is the center of the circle ?? Like using both (1) + (2)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,379
Own Kudos:
778,193
Given Kudos: 99,977
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: 105,379
Kudos: 778,193
What is the radius of the circle shown? 15 May 2017, 10:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
reachskishore
Bunuel
PathFinder007

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.

This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.


Hello Bunuel,

Say, in the stem, if the angle 'O' is given as 90 degrees. Then would it be possible to find the radius of the using the fact that 'O' is the center of the circle ?? Like using both (1) + (2)
Show more

Yes. In this case we'd know that the circumference is 16 and from that we'd be able to find the radius.
User avatar
utkarshthapak
User avatar
Joined: 09 Dec 2015
Last visit: 30 Sep 2018
Posts: 94
Own Kudos:
51
Given Kudos: 48
Location: India
Concentration: General Management, Operations
Schools: IIMC  (A)
GMAT 1: 700 Q49 V36
GPA: 3.5
WE:Engineering (Consumer Packaged Goods)
Products:
My Reviews
Schools: IIMC  (A)
GMAT 1: 700 Q49 V36
Posts: 94
Kudos: 51
What is the radius of the circle shown? 31 May 2017, 04:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We can't assume that O is the center and we can't assume that POQ is 90 degree. So we can't find the radius from statement 1, statement 2 or even if we combine both statement.
User avatar
Nunuboy1994
User avatar
Joined: 12 Nov 2016
Last visit: 24 Apr 2019
Posts: 558
Own Kudos:
124
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
Posts: 558
Kudos: 124
What is the radius of the circle shown? 06 Sep 2017, 19:12
Kudos
Add Kudos
Bookmarks
Bookmark this Post
PathFinder007
Attachment:
circle_radius.JPG
What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.
Show more

E cannot make the assumption piece of the circle shown in the graph is 1/4 of the circles area- which is what the trap in this question is. If you don't know the area then you cannot know the length of the arc.
User avatar
venmic
User avatar
Joined: 02 Nov 2009
Last visit: 16 Jul 2018
Posts: 74
Own Kudos:
724
Given Kudos: 180
Posts: 74
Kudos: 724
What is the radius of the circle shown? 09 Jul 2018, 23:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Area = Length of arc * radius /2

so why is this E

Bunuel
PathFinder007

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.

This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.
Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,379
Own Kudos:
778,193
Given Kudos: 99,977
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: 105,379
Kudos: 778,193
What is the radius of the circle shown? 09 Jul 2018, 23:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
venmic
Bunuel

Area of a sector = Length of arc * radius /2

so why is this E

Bunuel
PathFinder007

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.

This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.
Show more

You question is not clear. HOW do you suggest to use that formula to find the radius?
User avatar
hemantbafna
User avatar
Joined: 30 Jan 2020
Last visit: 02 Mar 2021
Posts: 163
Own Kudos:
90
Given Kudos: 527
Location: India
WE:Accounting (Accounting)
Posts: 163
Kudos: 90
What is the radius of the circle shown? 05 Aug 2020, 01:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
PathFinder007
Attachment:
circle_radius.JPG
What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.
Show more


(1) We cannot find the radius as we do not know the value of the angel
(2) With centre at point O nothing about the angle is known.

Therefore E
avatar
DexterZabula
avatar
Joined: 25 Jul 2020
Last visit: 07 Feb 2021
Posts: 40
Own Kudos:
17
Given Kudos: 109
Posts: 40
Kudos: 17
What is the radius of the circle shown? 04 Sep 2020, 05:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
PathFinder007

What is the radius of the circle shown?

(1) The measure of arc PQ is 4.
(2) The center of the circle is at point O.

This is straight and easy E. All we know is that some arc in a circle is 4 units long. How on earth are we supposed to find the radius? Notice that we cannot assume that angle O there is 90 degrees.

Answer: E.
Show more

Do you think, it is a GMAT like question and that too in 600-700 marks' range?
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,582
Own Kudos:
1,079
Posts: 38,582
Kudos: 1,079
What is the radius of the circle shown? 05 Jan 2022, 19:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Bunuel
Math Expert
105379 posts
kingbucky
496 posts