What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius \(1\) and

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What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius \(1\) and the other two vertices on the circle?

\(A.\, \dfrac{\sqrt{3}}{4}\)

\(B.\, \dfrac{1}{2}\)

\(C.\, \dfrac{\pi}{4}\)

\(D.\, 1\)

\(E.\, \sqrt{2}\)

Answer: B

Source: GMAT Prep
Source: — Problem Solving |