Last visit was: 14 Dec 2024, 12:35 It is currently 14 Dec 2024, 12:35
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Dec 2024
Posts: 97,877
Own Kudos:
685,868
 []
Given Kudos: 88,270
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,877
Kudos: 685,868
 []
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
User avatar
pushpitkc
Joined: 26 Feb 2016
Last visit: 24 Apr 2024
Posts: 2,856
Own Kudos:
Given Kudos: 47
Location: India
GPA: 3.12
Posts: 2,856
Kudos: 5,588
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
mogarza08
Joined: 27 Dec 2015
Last visit: 31 Jul 2018
Posts: 26
Own Kudos:
Given Kudos: 10
Posts: 26
Kudos: 13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,696
Own Kudos:
18,307
 []
Given Kudos: 165
Expert reply
Posts: 3,696
Kudos: 18,307
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the ratio of the circumference of a circle to the area of the same circle is 1 to 3, what is the diameter of the circle?

A. 2
B 3
C. 6
D. 12
E. 18

Solution



    • We need to find the Diameter of the circle \(= D\) (assumed)

      o The circumference of the circle is given by \(= 2π*(\frac{D}{2}) = πD\)

      o Area of the circle \(= π*\frac{D^2}{4}\)

    • We are given

      o \(\frac{Area}{Circumference}= \frac{3}{1}\)

      o \(\frac{(πD^2)}{(4πD)} = \frac{3}{1}\)

      o D = 12

    • Hence the correct answer is Option D


Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)

User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 13 Dec 2024
Posts: 19,869
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,869
Kudos: 24,293
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the ratio of the circumference of a circle to the area of the same circle is 1 to 3, what is the diameter of the circle?

A. 2
B 3
C. 6
D. 12
E. 18

We can let r = the radius of the circle and create the following equation:

2πr/πr^2 = 1/3

6πr = πr^2

6r = r^2

6 = r

Thus, the diameter is 2 x 6 = 12.

Answer: D
avatar
praveenmittal95605
Joined: 11 Feb 2017
Last visit: 10 Mar 2018
Posts: 18
Own Kudos:
Given Kudos: 29
Location: India
Schools: SPJ PGPM"17
GMAT 1: 600 Q48 V25
GPA: 3.57
WE:Engineering (Computer Software)
Products:
Schools: SPJ PGPM"17
GMAT 1: 600 Q48 V25
Posts: 18
Kudos: 9
Kudos
Add Kudos
Bookmarks
Bookmark this Post
given = 2(pi)r / (pi) r^2 = 1/3 solving for r => r = 6 hence diameter is 2r = 12

Option D is correct
User avatar
ZahidPavel
Joined: 10 Dec 2016
Last visit: 25 Apr 2024
Posts: 49
Own Kudos:
Given Kudos: 9
Location: Bangladesh
GPA: 3.38
Posts: 49
Kudos: 2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
[quote="Bunuel"]If the ratio of the circumference of a circle to the area of the same circle is 1 to 3, what is the diameter of the circle?

A. 2
B 3
C. 6
D. 12
E. 18

2*pi*r/pi*r^2 = 1/3
So, r = 6
diameter (2r) = 2*6 = 12

Answer: D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,828
Own Kudos:
Posts: 35,828
Kudos: 930
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.
Moderator:
Math Expert
97877 posts