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What is the area of circle O above?

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Senior Manager
Joined: 10 Jul 2013
Posts: 335
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What is the area of circle O above? [#permalink]

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25 Aug 2013, 17:45
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25% (medium)

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74% (02:02) correct 26% (01:28) wrong based on 81 sessions

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

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25 Aug 2013, 23:23
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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 $$\pi{r^2}=36\pi$$.

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

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26 Aug 2013, 00:04
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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
Senior Manager
Joined: 10 Jul 2013
Posts: 335
Followers: 3

Kudos [?]: 285 [0], given: 102

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

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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.....

Re: What is the area of circle O above?   [#permalink] 26 Aug 2013, 01:13
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