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

It is currently 22 Nov 2019, 05:41

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

The diameters of the semicircles above are 8, and the diameter of the

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59264
The diameters of the semicircles above are 8, and the diameter of the  [#permalink]

Show Tags

New post 30 Oct 2018, 02:44
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (02:17) correct 14% (02:09) wrong based on 34 sessions

HideShow timer Statistics

Image
The diameters of the semicircles above are 8, and the diameter of the semicircle on the right is perpendicular to those of the other two semicircles. What is the total area of the shaded region?


A. 12π + 64
B. 24π + 12
C. 24π + 48
D. 32π + 48
E. 32π + 64

Attachment:
cird06.png
cird06.png [ 12.2 KiB | Viewed 455 times ]

_________________
Manager
Manager
avatar
G
Joined: 24 Jun 2013
Posts: 142
Location: India
Schools: ISB '20, GMBA '20
GMAT ToolKit User
Re: The diameters of the semicircles above are 8, and the diameter of the  [#permalink]

Show Tags

New post 30 Oct 2018, 11:01
Bunuel wrote:
Image
The diameters of the semicircles above are 8, and the diameter of the semicircle on the right is perpendicular to those of the other two semicircles. What is the total area of the shaded region?


A. 12π + 64
B. 24π + 12
C. 24π + 48
D. 32π + 48
E. 32π + 64

Attachment:
cird06.png


Area of 1 semicircle =\(\frac{π r^2}{2}\) = 8π , 3 semicircles so total area of 3 semicircles = 3 x 8π = 24π

Also since diameter are same we would get a square figure at the centre (sides equal and perpendicular) , so are one bigger triangle = \(\frac{8*8}{2}\)= 32 , now smaller triangle is half of this area so smaller traingle = 16, likewise we have 3 smaller triangle so area = 48

total area 24π + 48
_________________
If this post helped you learn something pls give kudos
GMAT Club Bot
Re: The diameters of the semicircles above are 8, and the diameter of the   [#permalink] 30 Oct 2018, 11:01
Display posts from previous: Sort by

The diameters of the semicircles above are 8, and the diameter of the

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





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