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

 It is currently 23 Feb 2019, 15:16

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 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.
• 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

ABCD is a square and one of its sides AB is also a chord of the circle

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
ABCD is a square and one of its sides AB is also a chord of the circle  [#permalink]

Show Tags

09 Oct 2018, 00:15
00:00

Difficulty:

25% (medium)

Question Stats:

83% (00:34) correct 17% (00:19) wrong based on 19 sessions

HideShow timer Statistics

ABCD is a square and one of its sides AB is also a chord of the circle as shown in the figure. What is the area of the square?

(A) 3

(B) 9

(C) 12

(D) 12√2

(E) 18

Attachment:

figure.jpg [ 30.59 KiB | Viewed 226 times ]

_________________
Intern
Joined: 12 Sep 2016
Posts: 12
GMAT 1: 640 Q44 V34
WE: Accounting (Consulting)
ABCD is a square and one of its sides AB is also a chord of the circle  [#permalink]

Show Tags

Updated on: 09 Oct 2018, 00:26
Since the radii of the circle and the chord form a right angled triangle, the length of the chord becomes 3\sqrt{2}.

Further, the chord is the side of the square. Using the formula for the area of a square, the area is 3\sqrt{2}*3\sqrt{2}= 18 sq units. Answer E.

Originally posted by SushiVoyage on 09 Oct 2018, 00:22.
Last edited by SushiVoyage on 09 Oct 2018, 00:26, edited 1 time in total.
VP
Joined: 31 Oct 2013
Posts: 1163
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: ABCD is a square and one of its sides AB is also a chord of the circle  [#permalink]

Show Tags

09 Oct 2018, 00:24
Bunuel wrote:

ABCD is a square and one of its sides AB is also a chord of the circle as shown in the figure. What is the area of the square?

(A) 3

(B) 9

(C) 12

(D) 12√2

(E) 18

Attachment:
figure.jpg

AB is basically the side hypontuse of the triangle and side of a square.

$$AB^2 = 3^2 + 3^2$$
AB = $$\sqrt{18}$$

Area of the square = AB*AB = $$\sqrt{18*18}$$ = 18

Intern
Joined: 07 Jan 2018
Posts: 11
Re: ABCD is a square and one of its sides AB is also a chord of the circle  [#permalink]

Show Tags

09 Oct 2018, 00:44
OA^2+OB^2=AB^2-Using pythogoras theorem

Therefore, 3^2+3^2=AB^2
AB=√18=3√2
We've got one side of the square.
Area of the square= 3√2 × 3√2 =18

So the answer is option E

Posted from my mobile device
Re: ABCD is a square and one of its sides AB is also a chord of the circle   [#permalink] 09 Oct 2018, 00:44
Display posts from previous: Sort by