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

 It is currently 18 Dec 2018, 21:36

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• ### Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# In the figure shown below, line segments AC and BD are diameters of th

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51285
In the figure shown below, line segments AC and BD are diameters of th  [#permalink]

### Show Tags

04 Oct 2018, 23:41
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:16) correct 15% (01:50) wrong based on 27 sessions

### HideShow timer Statistics

In the figure shown below, line segments AC and BD are diameters of the circle. If the distance between A and D is 6/√2, what is the area of the circle?

(A) 4π
(B) 6π
(C) 9π
(D) 18π
(E) 32π

Attachment:

2018-10-05_1139.png [ 6.61 KiB | Viewed 431 times ]

_________________
Intern
Joined: 04 Aug 2016
Posts: 4
Location: India
Concentration: Technology, General Management
WE: Information Technology (Computer Software)
In the figure shown below, line segments AC and BD are diameters of th  [#permalink]

### Show Tags

Updated on: 04 Oct 2018, 23:59
In Triangle AOD, (AD)^2=(AO)^2 + (OD)^2 ,since AO=OD=r, on substituting value and calculating we will get , r=3.
Area of circle will be πr^2=9π

Originally posted by Navishek on 04 Oct 2018, 23:56.
Last edited by Navishek on 04 Oct 2018, 23:59, edited 1 time in total.
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 984
Location: India
GPA: 3.64
Re: In the figure shown below, line segments AC and BD are diameters of th  [#permalink]

### Show Tags

04 Oct 2018, 23:57
Bunuel wrote:

In the figure shown below, line segments AC and BD are diameters of the circle. If the distance between A and D is 6/√2, what is the area of the circle?

(A) 4π
(B) 6π
(C) 9π
(D) 18π
(E) 32π

Attachment:
2018-10-05_1139.png

Since AD=$$\frac{6}{\sqrt{2}}$$, $$\sqrt{2}$$ x R=$$\frac{6}{\sqrt{2}}$$
Area = $$\pi$$ $$R^2$$ = 9$$\pi$$
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Intern
Joined: 20 May 2018
Posts: 17
Re: In the figure shown below, line segments AC and BD are diameters of th  [#permalink]

### Show Tags

06 Oct 2018, 02:18
and we know that AD= 6/√2
Therefore r=3 and Area= 9π
Re: In the figure shown below, line segments AC and BD are diameters of th &nbs [#permalink] 06 Oct 2018, 02:18
Display posts from previous: Sort by