GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Jul 2018, 11:41

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

There are 2 circles, 1 big circle and 1 small circle, and they meet at

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

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 5846
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

Show Tags

New post 02 Aug 2017, 01:01
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:04) correct 19% (01:20) wrong based on 43 sessions

HideShow timer Statistics

Attachment:
8.2.png
8.2.png [ 12.19 KiB | Viewed 1045 times ]


There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

\(A. 3π\)
\(B. 3.5π\)
\(C. 4π\)
\(D. 4.5π\)
\(E. 7π\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

1 KUDOS received
Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 700
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

Show Tags

New post 02 Aug 2017, 01:29
1
MathRevolution wrote:
Attachment:
8.2.png


There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

\(A. 3π\)
\(B. 3.5π\)
\(C. 4π\)
\(D. 4.5π\)
\(E. 7π\)


Given Area of big circle \(= 14π\)

Let the radius of big circle be \(= R\)

\(\pi\)\(R^2 = 14π\)

\(R^2 = 14\)

\(R = \sqrt{14}\)

Given diameter of small circle is equal to radius of big circle.

Let the radius of small circle be \(= r\)

Therefore \(R = 2r\)

\(r = \frac{R}{2}\) \(= \frac{\sqrt{14}}{ 2}\)

Area of small circle \(= \pi r^2 = \pi * \frac{\sqrt{14}}{ 2} * \frac{\sqrt{14}}{ 2} = \pi * \frac{14}{4} = \frac{7}{2} \pi = 3.5\pi\)

Answer (B)...

_________________
Please Press "+1 Kudos" to appreciate. :)
Director
Director
User avatar
P
Joined: 13 Mar 2017
Posts: 610
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

Show Tags

New post 02 Aug 2017, 02:08
MathRevolution wrote:
Attachment:
8.2.png


There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

\(A. 3π\)
\(B. 3.5π\)
\(C. 4π\)
\(D. 4.5π\)
\(E. 7π\)


Let the radius of bigger circle be R & radius of smaller circle be r.
So, r = R/2
\(πR^2 = 14π\)
\(R = \sqrt{14}\)

\(r = \sqrt{14}/2\)[/m]

Area of smaller circle
\(= πr^2 = π(R/2)^2= πR^2 /4\)
\(=14π/4 = 3.5π\)
_________________

CAT 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Intern
Intern
avatar
B
Joined: 15 Oct 2016
Posts: 31
There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

Show Tags

New post 02 Aug 2017, 02:14
MathRevolution wrote:
Attachment:
8.2.png


There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

\(A. 3π\)
\(B. 3.5π\)
\(C. 4π\)
\(D. 4.5π\)
\(E. 7π\)


The ratio of areas of two circles is the same as the ratio of the squares of their respective Radii / Diameters. Hence the correct answer should be 1/4 of the area of the bigger circle.
Expert Post
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 5846
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

Show Tags

New post 04 Aug 2017, 02:23
==> Ratio of length^2=Ratio of area, and since the ratio of the length is 2, the ratio of the area becomes 4, so you get \(\frac{14π}{4}=3.5π\).

The answer is B.
Answer: B
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: There are 2 circles, 1 big circle and 1 small circle, and they meet at   [#permalink] 04 Aug 2017, 02:23
Display posts from previous: Sort by

There are 2 circles, 1 big circle and 1 small circle, and they meet at

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.