Points \(A, B,\) and \(C\) are points on a circle with a radius of \(6.\) Point \(D\) is the midpoint of side \(AC.\)

[Gmat_mission]

Points \(A, B,\) and \(C\) are points on a circle with a radius of \(6.\) Point \(D\) is the midpoint of side \(AC.\) What is the area of triangle \(ABC?\)

Statement #1: Segment \(BD\) passes through the center of the circle.

Statement #2: Arc \(AB\) has a length of \(4\pi.\)

Answer: C

Source: Magoosh