Points \(A, B,\) and \(C\) lie on a circle of radius \(1.\) What is the area of triangle \(ABC?\)

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Points \(A, B,\) and \(C\) lie on a circle of radius \(1.\) What is the area of triangle \(ABC?\)

(1) \(AB^2=BC^2+AC^2\)

(2) \(\angle CAB\) equals \(30\) degrees.

Answer: C

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