It is currently 19 Oct 2017, 22:33

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Area of a rectangle inscribed in a circle of radius r

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

### Hide Tags

Intern
Joined: 29 Mar 2013
Posts: 13

Kudos [?]: 36 [1], given: 12

Area of a rectangle inscribed in a circle of radius r [#permalink]

### Show Tags

16 Apr 2013, 16:49
1
This post received
KUDOS
00:00

Difficulty:

(N/A)

Question Stats:

80% (00:31) correct 20% (01:12) wrong based on 15 sessions

### HideShow timer Statistics

Area of a rectangle inscribed in a circle of radius r

A 2r
B 2r^2
C 3r^2
D 4r
E none of these
Attachments

1.jpg [ 8.46 KiB | Viewed 7059 times ]

Kudos [?]: 36 [1], given: 12

Manager
Joined: 27 Jul 2011
Posts: 183

Kudos [?]: 287 [1], given: 103

Re: Area of a rectangle inscribed in a circle of radius r [#permalink]

### Show Tags

16 Apr 2013, 20:24
1
This post received
KUDOS
Interesting question!!!!!!!

For me i will assume this rectangle to be a square then Area diagonal = 2*r
=> side = $$\sqrt{2* r}$$
area = $$2*r^2$$

so my rectangle has a area less than $$2*r^2$$
it can't be A) 2r (diagonal is itself 2r so area must be greater than this)
B) is out
C) is out : greater than B value
D) is out :is side will be some value*r => area should be in terms of $$r^2$$
E) Last option- so correct

IMO: E
_________________

If u can't jump the 700 wall , drill a big hole and cross it .. I can and I WILL DO IT ...need some encouragement and inspirations from U ALL

Kudos [?]: 287 [1], given: 103

VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1120

Kudos [?]: 2327 [0], given: 219

Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Re: Area of a rectangle inscribed in a circle of radius r [#permalink]

### Show Tags

17 Apr 2013, 00:03
If a rectangle is inscribed in a circle its diagonal= 2*radius

To calculate tha area of an iscribed rectangle the diagonal is not sufficient however
Look at the image
IMO E
Attachments

1.jpg [ 26.68 KiB | Viewed 7008 times ]

_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Kudos [?]: 2327 [0], given: 219

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 627

Kudos [?]: 1355 [0], given: 136

Re: Area of a rectangle inscribed in a circle of radius r [#permalink]

### Show Tags

17 Apr 2013, 09:53
iwantto wrote:
Area of a rectangle inscribed in a circle of radius r

A 2r
B 2r^2
C 3r^2
D 4r
E none of these

The maximum area of a rectangle inscribed in a circle is for a square and that is $$2r^2$$. From the given options, 2r and 4r are just lengths, not area. And as $$3r^2$$ is more than $$2r^2$$, the answer is E.
_________________

Kudos [?]: 1355 [0], given: 136

Intern
Joined: 18 Feb 2013
Posts: 32

Kudos [?]: 32 [0], given: 14

GMAT 1: 710 Q49 V38
Re: Area of a rectangle inscribed in a circle of radius r [#permalink]

### Show Tags

17 Apr 2013, 13:37
I misread the problem. I assumed that the rectangle inside the circle was a square so I got an area of 2r^2, which is B. Looking at the Zarrolou's drawings, it is clear you cannot find the area with the information given. I agree now that E should be the answer.

Kudos [?]: 32 [0], given: 14

Re: Area of a rectangle inscribed in a circle of radius r   [#permalink] 17 Apr 2013, 13:37
Display posts from previous: Sort by

# Area of a rectangle inscribed in a circle of radius r

 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®.