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What is the area of circle O?

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Intern
Intern
avatar
Joined: 12 Feb 2013
Posts: 6
Followers: 0

Kudos [?]: 3 [0], given: 18

What is the area of circle O? [#permalink] New post 23 Apr 2013, 00:35
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

75% (01:19) correct 25% (01:42) wrong based on 4 sessions
Attachment:
Untitled.jpg
Untitled.jpg [ 13.71 KiB | Viewed 387 times ]
What is the area of circle O ?

A. 12π
Β. 25π
C. 36π
D. 48π
E. 54π
[Reveal] Spoiler: OA
Manager
Manager
avatar
Joined: 26 Feb 2013
Posts: 54
Concentration: Strategy, General Management
GMAT 1: 660 Q50 V30
WE: Consulting (Telecommunications)
Followers: 0

Kudos [?]: 4 [0], given: 16

Re: What is the area of circle 0 ? [#permalink] New post 23 Apr 2013, 00:43
36pi

AC is 6. OB will be 6. OABC is a rectangle. Hence radius is 6

Area 36pi
Manager
Manager
User avatar
Status: Never ever give up on yourself.Period.
Joined: 23 Aug 2012
Posts: 138
Location: India
Concentration: Finance, Human Resources
Schools: Mays '16
GMAT 1: 570 Q47 V21
GMAT 2: 690 Q50 V33
GPA: 3.5
WE: Information Technology (Investment Banking)
Followers: 8

Kudos [?]: 83 [0], given: 35

Re: What is the area of circle 0 ? [#permalink] New post 23 Apr 2013, 01:56
See the attached JPG.

Explaination: If you extend AB and BC you will get two overlapping triangle DBE and ABC.
As BA=AD and BC=CE, the sides are in 2:1 proportion. so should be the case with AC and DE(which is diagonal, as angle is 90 degree)
so AC:DE = 1:2 => DE= 12 hence radius will be 6. Area= pi * 36
hence Answer is C.
Attachments

Solution.JPG
Solution.JPG [ 6.14 KiB | Viewed 348 times ]


_________________

Don't give up on yourself ever. Period.
Beat it, no one wants to be defeated (My journey from 570 to 690) : beat-it-no-one-wants-to-be-defeated-journey-570-to-149968.html

Manager
Manager
User avatar
Status: Never ever give up on yourself.Period.
Joined: 23 Aug 2012
Posts: 138
Location: India
Concentration: Finance, Human Resources
Schools: Mays '16
GMAT 1: 570 Q47 V21
GMAT 2: 690 Q50 V33
GPA: 3.5
WE: Information Technology (Investment Banking)
Followers: 8

Kudos [?]: 83 [0], given: 35

Re: What is the area of circle 0 ? [#permalink] New post 23 Apr 2013, 02:00
this another and complicated method to arrive at the answer...lol..:)

Posted from my mobile device Image
_________________

Don't give up on yourself ever. Period.
Beat it, no one wants to be defeated (My journey from 570 to 690) : beat-it-no-one-wants-to-be-defeated-journey-570-to-149968.html

Re: What is the area of circle 0 ?   [#permalink] 23 Apr 2013, 02:00
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