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

 It is currently 20 Nov 2018, 15:52

### 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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Free lesson on number properties

November 23, 2018

November 23, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50711
The diameters of the semicircles above are 8, and the diameter of the  [#permalink]

### Show Tags

30 Oct 2018, 01:44
00:00

Difficulty:

15% (low)

Question Stats:

93% (02:08) correct 7% (01:33) wrong based on 27 sessions

### HideShow timer Statistics

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 [ 12.2 KiB | Viewed 228 times ]

_________________
Manager
Joined: 24 Jun 2013
Posts: 119
Location: India
Schools: ISB '20
Re: The diameters of the semicircles above are 8, and the diameter of the  [#permalink]

### Show Tags

30 Oct 2018, 10:01
Bunuel wrote:

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

Re: The diameters of the semicircles above are 8, and the diameter of the &nbs [#permalink] 30 Oct 2018, 10:01
Display posts from previous: Sort by