The correct answer is C

Explanation

Choice (C) is correct. Since △ABO is equilateral, each of its angles has measure?60°. It follows that ∠BOC has measure 120°. Since??and??are radii of the same circle, they are of equal length, and so △OCB is isosceles. Hence ∠OBC and ∠OCB each have measure 30°. Thus?∠ABC has measure 60°?+ 30° = 90°, and so △ABC is a 30°-60°-90° right triangle. Since?, the side opposite the 30° angle in △ABC, is of length 6, it follows that?, the side opposite the 60° angle, is of length?.