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GMAT Prep 2 Ques

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Master | Next Rank: 500 Posts
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by abhinav85 » Mon May 18, 2009 4:20 pm
What is the greatest possible area of a triangular region with one vertex
at the centre of a circle of radius 1 and the other two vertices on the
circle?

A. root3/4

B. 1/2

C. pie/4

D. 1

E. root2
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by ManSab » Mon May 18, 2009 4:59 pm
B

Thnx
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by abhinav85 » Mon May 18, 2009 5:28 pm
Hey Mansab

Can u explain how u solve this?
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by preetosh » Mon May 18, 2009 6:03 pm
IMO B 1/2

Area of triangle is always 1/2abSinC
a=b=1
Maxpossible value of SinC is 1 .

So area = 1/2
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by PAB2706 » Mon May 18, 2009 8:58 pm
hey abhinav,

The largest area possible with one vertex as center and other two on the circle is is a right angle triangle(right angle at the center)

thus we get the base and the height as 1

so 1/2x1x1=1/2sq units.

hence B
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