It is currently 22 Sep 2017, 06:52

### 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 June
Open Detailed Calendar

# What is the area of circle O above?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 10 Jul 2013
Posts: 333

Kudos [?]: 404 [0], given: 102

What is the area of circle O above? [#permalink]

### Show Tags

25 Aug 2013, 17:45
00:00

Difficulty:

25% (medium)

Question Stats:

77% (00:58) correct 23% (01:28) wrong based on 92 sessions

### HideShow timer Statistics

Attachment:

circle 2.png [ 4.3 KiB | Viewed 1889 times ]
What is the area of circle O above?

(A) 24π
(B) 36π
(C) 48π
(D) 64π
(E) 72π

[Reveal] Spoiler:
a real-different sort of problem
[Reveal] Spoiler: OA

_________________

Asif vai.....

Last edited by Bunuel on 25 Aug 2013, 23:20, edited 1 time in total.
Edited the question.

Kudos [?]: 404 [0], given: 102

Math Expert
Joined: 02 Sep 2009
Posts: 41684

Kudos [?]: 124424 [1], given: 12078

Re: What is the area of circle O above? [#permalink]

### Show Tags

25 Aug 2013, 23:23
1
KUDOS
Expert's post

What is the area of circle O above?

(A) 24π
(B) 36π
(C) 48π
(D) 64π
(E) 72π

Notice that ABCO is a rectangle --> diagonal AC = diagonal OB = 6.

Since OB is the radius of the circle, then the area is $$\pi{r^2}=36\pi$$.

_________________

Kudos [?]: 124424 [1], given: 12078

Intern
Joined: 31 Jan 2013
Posts: 17

Kudos [?]: 55 [1], given: 18

Schools: ISB '15
WE: Consulting (Energy and Utilities)
Re: What is the area of circle O above? [#permalink]

### Show Tags

26 Aug 2013, 00:04
1
KUDOS
In the Quadilateral(OABC), since Ang(O),Ang(B), and Ang(C) are Right angles, Ang(A) also must be right angle.
(Since sum of interior angles of a Quadilateral = (n-2) * 180 where n = number of sides)

Hence we could say, Quadilateral(OABC) is a Rectangle.

Using the properties of Rectangle, AC = OB = 6

Hence Area of the Circle = Pi* OB^2=
[Reveal] Spoiler:
Pi * 6^2=36Pi

Kudos [?]: 55 [1], given: 18

Senior Manager
Joined: 10 Jul 2013
Posts: 333

Kudos [?]: 404 [0], given: 102

Re: What is the area of circle O above? [#permalink]

### Show Tags

26 Aug 2013, 01:13
Smallwonder wrote:
In the Quadilateral(OABC), since Ang(O),Ang(B), and Ang(C) are Right angles, Ang(A) also must be right angle.
(Since sum of interior angles of a Quadilateral = (n-2) * 180 where n = number of sides)

Hence we could say, Quadilateral(OABC) is a Rectangle.

Using the properties of Rectangle, AC = OB = 6

Hence Area of the Circle = Pi* OB^2=
[Reveal] Spoiler:
Pi * 6^2=36Pi

it's not locked brother. you can comment here as you did.

however , nice solution
_________________

Asif vai.....

Kudos [?]: 404 [0], given: 102

Re: What is the area of circle O above?   [#permalink] 26 Aug 2013, 01:13
Similar topics Replies Last post
Similar
Topics:
5 The area of the circle above, with center O, is 144π . If angle OZY m 5 09 Jun 2017, 13:22
8 If O is the center of the circle above, what fraction of the 14 06 Jul 2017, 17:22
1 If O is the center of the circle in the figure above and the area of I 6 02 Nov 2016, 19:42
3 What is the area of the shaded portion in circle O, as pictured above, 3 09 Feb 2016, 18:47
What is the area of circle O? 3 23 Apr 2013, 03:00
Display posts from previous: Sort by