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

 It is currently 16 Jul 2018, 03:51

### 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

# In the figure above, rectangle PQRS is inscribed in the circle, and PQ

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47015
In the figure above, rectangle PQRS is inscribed in the circle, and PQ [#permalink]

### Show Tags

23 Nov 2017, 05:43
00:00

Difficulty:

(N/A)

Question Stats:

88% (00:28) correct 13% (01:11) wrong based on 16 sessions

### HideShow timer Statistics

In the figure above, rectangle PQRS is inscribed in the circle, and PQ = 6. If the area of the rectangular region PQRS is 48, what is the area of the circular region?

(A) 10π
(B) 25π
(C) 36π
(D) 48π
(E) 100π

Attachment:

2017-11-23_1216_002.png [ 6.52 KiB | Viewed 835 times ]

_________________
Intern
Joined: 10 Aug 2017
Posts: 8
Re: In the figure above, rectangle PQRS is inscribed in the circle, and PQ [#permalink]

### Show Tags

23 Nov 2017, 06:08
OPTION B.
PQ=RS=6
Area ofPQRS =48
This gives us, PS=QR=8

Draw a diagonal.
*Find it by d= square root w^2+l^2
= sqroot 6^2+8^2=100
d= 10
Diagonal of rectangle= diameter of cirlce.
Area of circular region= pie.r^2
= 25pie

* or you can simply make it 6-8-10 right triangle right away.

Sent from my iPhone using GMAT Club Forum
Intern
Joined: 01 Oct 2017
Posts: 7
In the figure above, rectangle PQRS is inscribed in the circle, and PQ [#permalink]

### Show Tags

23 Nov 2017, 06:18
10 pie=perimeter
25 pie =area

Sent from my iPhone using GMAT Club Forum
In the figure above, rectangle PQRS is inscribed in the circle, and PQ   [#permalink] 23 Nov 2017, 06:18
Display posts from previous: Sort by

# Events & Promotions

 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®.