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

 It is currently 25 Mar 2019, 19:22 ### 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

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. ### Request Expert Reply # If the two circles shown above are concentric with center O, which exp

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

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 53831
If the two circles shown above are concentric with center O, which exp  [#permalink]

### Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 72% (01:53) correct 28% (01:32) wrong based on 25 sessions

### HideShow timer Statistics If the two circles shown above are concentric with center O, which expression represents the area of the region ABDC in terms of the radius of the large circle R and the radius of small circle r and the measure of angle AOB x ?

A. $$\frac{\pi x}{360}(R - r)^2$$

B. $$\frac{\pi 180}{x}(R^2 - r^2)$$

C. $$\frac{\pi 360}{x}(R - r)^2$$

D. $$\frac{\pi 360}{x}(R^2 - r^2)$$

E. $$\frac{\pi x}{360}(R^2 - r^2)$$

Attachment: image018.jpg [ 2.41 KiB | Viewed 621 times ]

_________________
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2848
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
If the two circles shown above are concentric with center O, which exp  [#permalink]

### Show Tags

Bunuel wrote: If the two circles shown above are concentric with center O, which expression represents the area of the region ABDC in terms of the radius of the large circle R and the radius of small circle r and the measure of angle AOB x ?

A. $$\frac{\pi x}{360}(R - r)^2$$

B. $$\frac{\pi 180}{x}(R^2 - r^2)$$

C. $$\frac{\pi 360}{x}(R - r)^2$$

D. $$\frac{\pi 360}{x}(R^2 - r^2)$$

E. $$\frac{\pi x}{360}(R^2 - r^2)$$

Attachment:
image018.jpg

Area of region ABDC = Bigger Sector - Smaller sector = $$\frac{\pi x}{360}(R^2 - r^2)$$

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Intern  B
Joined: 29 Oct 2016
Posts: 1
Location: Pakistan
Concentration: Finance, Entrepreneurship
GPA: 3.6
WE: Operations (Energy and Utilities)
Re: If the two circles shown above are concentric with center O, which exp  [#permalink]

### Show Tags

Should be E as no other one is sufficient
SVP  P
Joined: 18 Aug 2017
Posts: 2497
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If the two circles shown above are concentric with center O, which exp  [#permalink]

### Show Tags

Area of sector = angle /360 * pi * r^2
so for large circle ; angle/360 * R^2 and small circle angle/360 * r^2
difference will give us the area of ABDC

IMO E $$\frac{\pi x}{360}(R^2 - r^2)$$

Bunuel wrote: If the two circles shown above are concentric with center O, which expression represents the area of the region ABDC in terms of the radius of the large circle R and the radius of small circle r and the measure of angle AOB x ?

A. $$\frac{\pi x}{360}(R - r)^2$$

B. $$\frac{\pi 180}{x}(R^2 - r^2)$$

C. $$\frac{\pi 360}{x}(R - r)^2$$

D. $$\frac{\pi 360}{x}(R^2 - r^2)$$

E. $$\frac{\pi x}{360}(R^2 - r^2)$$

Attachment:
image018.jpg

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: If the two circles shown above are concentric with center O, which exp   [#permalink] 04 Mar 2019, 01:55
Display posts from previous: Sort by

# If the two circles shown above are concentric with center O, which exp

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