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

 It is currently 20 Feb 2019, 20:18

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# If the area of the square inscribed in the circle shown above is 36

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53020
If the area of the square inscribed in the circle shown above is 36  [#permalink]

### Show Tags

06 Sep 2018, 00:03
00:00

Difficulty:

15% (low)

Question Stats:

89% (01:02) correct 11% (01:11) wrong based on 33 sessions

### HideShow timer Statistics

If the area of the square inscribed in the circle shown above is 36, what is the area of the circle?

A. $$9\pi$$

B. $$18\pi$$

C. $$\sqrt{72} \pi$$

D. $$4\sqrt{18} \pi$$

E. $$36\pi$$

Attachment:

image009.jpg [ 1.76 KiB | Viewed 520 times ]

_________________
Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
If the area of the square inscribed in the circle shown above is 36  [#permalink]

### Show Tags

06 Sep 2018, 00:13
Bunuel wrote:

If the area of the square inscribed in the circle shown above is 36, what is the area of the circle?

A. $$9\pi$$

B. $$18\pi$$

C. $$\sqrt{72} \pi$$

D. $$4\sqrt{18} \pi$$

E. $$36\pi$$

Attachment:
image009.jpg

side of the square = 6
diagonal of the square = diameter of the circle = a$$\sqrt{2}$$ = 6$$\sqrt{2}$$
area of the circle = $$\pi$$ 3$$\sqrt{2}$$*3$$\sqrt{2}$$ = 18$$\pi$$
SC Moderator
Joined: 30 Jan 2015
Posts: 792
Location: India
Concentration: Operations, Marketing
GPA: 3.5
If the area of the square inscribed in the circle shown above is 36  [#permalink]

### Show Tags

06 Sep 2018, 02:23
+1 for B.

Area of Square = S^2 = 36 --> S = 6
Diagonal of Circle = 6√2 (Applying Pythagoras Theorem) , and Radius = 3√2 (Half a diagonal)
Therefore, Area of the circle = πr^2 = π * (3√2)^2 = π * 9 * 2 = 18π

Hence, B.
_________________

The few, the fearless !

Thanks

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4387
Location: India
GPA: 3.5
Re: If the area of the square inscribed in the circle shown above is 36  [#permalink]

### Show Tags

06 Sep 2018, 06:57
Bunuel wrote:

If the area of the square inscribed in the circle shown above is 36, what is the area of the circle?

A. $$9\pi$$

B. $$18\pi$$

C. $$\sqrt{72} \pi$$

D. $$4\sqrt{18} \pi$$

E. $$36\pi$$

Attachment:
The attachment image009.jpg is no longer available

Diameter of the Circle is $$6√2$$ , Hence Raidus of the Circle is $$3√2$$

So, Area of the circle is $$π*3√2*3√2 = 18π$$, Answer must be (B)
Attachments

image001 %281%29.jpg [ 4.71 KiB | Viewed 400 times ]

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: If the area of the square inscribed in the circle shown above is 36   [#permalink] 06 Sep 2018, 06:57
Display posts from previous: Sort by