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

 It is currently 22 Feb 2019, 16:45

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# The side length of a square inscribed in a circle is 2. What is the ar

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
The side length of a square inscribed in a circle is 2. What is the ar  [#permalink]

### Show Tags

09 Oct 2018, 22:44
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

73% (00:40) correct 27% (00:40) wrong based on 19 sessions

### HideShow timer Statistics

The side length of a square inscribed in a circle is 2. What is the area of the circle?

(A) $$\pi$$

(B) $$\sqrt{2} \pi$$

(C) $$2\pi$$

(D) $$2 \sqrt{2} \pi$$

(E) $$\pi^2$$

_________________
Intern
Joined: 04 Jun 2015
Posts: 26
Location: India
Concentration: General Management, Operations
GMAT 1: 640 Q49 V28
GPA: 4
WE: Programming (Computer Software)
Re: The side length of a square inscribed in a circle is 2. What is the ar  [#permalink]

### Show Tags

09 Oct 2018, 22:54
1
Side of square inscribed in a circle is =2
Diagonal of square = diameter of circle = 2(2)^1/2

Radius of circle = (2)^1/2
Area of circle = pi(radius)^2
=2 x pi
Option :C

Posted from my mobile device
VP
Joined: 31 Oct 2013
Posts: 1162
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
The side length of a square inscribed in a circle is 2. What is the ar  [#permalink]

### Show Tags

10 Oct 2018, 01:04
Bunuel wrote:
The side length of a square inscribed in a circle is 2. What is the area of the circle?

(A) $$\pi$$

(B) $$\sqrt{2} \pi$$

(C) $$2\pi$$

(D) $$2 \sqrt{2} \pi$$

(E) $$\pi^2$$

Area of the square = 2^2 = 4

Another way to find out area of the square = (1/2)*$$d^2$$.

(1/2)$$d^2$$ = 4

d = $$\sqrt{8}$$

Diameter =$$\sqrt{8}$$

Area of the circle = pie * $$r^2$$

= pie* $$((\sqrt{8})/2)^2$$
= 2 pie.

The best answer is C.
The side length of a square inscribed in a circle is 2. What is the ar   [#permalink] 10 Oct 2018, 01:04
Display posts from previous: Sort by

# The side length of a square inscribed in a circle is 2. What is the ar

 new topic 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®.