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# In the figure, the radius of the circle with center O is 1

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Director
Joined: 03 Sep 2006
Posts: 884
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In the figure, the radius of the circle with center O is 1 [#permalink]  23 Jun 2007, 01:41
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0% (00:00) correct 0% (00:00) wrong based on 1 sessions
In the figure, the radius of the circle with center O is 1 and BC =1. What is the area of the triangular region ABC?

A. sqrt(2)/2

B. sqrt(3)/2

C. 1

D. sqrt(2)

E. sqrt(3)
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Senior Manager
Joined: 04 Jun 2007
Posts: 348
Followers: 1

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

Re: PS-Geometry [#permalink]  23 Jun 2007, 03:30
LM wrote:
In the figure, the radius of the circle with center O is 1 and BC =1. What is the area of the triangular region ABC?

A. sqrt(2)/2

B. sqrt(3)/2

C. 1

D. sqrt(2)

E. sqrt(3)

area = 0.5 * BC * AB (angle ABC is 90°) = 0.5 * 1 * sqrt(4-1)=0.5*sqrt(3)

Director
Joined: 09 Aug 2006
Posts: 763
Followers: 1

Kudos [?]: 76 [0], given: 0

Since AC is the diameter of the circle, angle ABC =90

AC=2
BC=1
=>AB=sqrt 3 (using pyth. th.)

Ar. = 1/2 bh = 1/2*1*sqrt 3 = (sqrt 3)/2

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