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The greatest possible area

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The greatest possible area

by bstalling » Sun Mar 01, 2009 5:50 pm
What is the greatest possible area of a triangle region with one vertex at the center of a circle of a radius of 1 and the other two vertices on the circle?

A) sqrt(3)/4
B) 1/2
C) pi/4
D) 1
E) sqrt(2)

Gprep OA - B

I got it right, but only by guessing - can someone put some math behind this problem for me?
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by welcome » Sun Mar 01, 2009 6:03 pm
For the biggest area, always think right angle triangle.

one point on origin and two on circum with redius 1, that means base=hight=1
So area = 1/2*1*1 = 1/2.
Shubham.
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