AMC 10B 2013 Problem 7

Six points are equally spaced around a circle of radius 1 . Three of these points are the vertices of a triangle that is neither equilateral nor isosceles. What is the area of this triangle?

Answer Choices
A. \dfrac{\sqrt{3}}{3}
B. \dfrac{\sqrt{3}}{2}
C. 1
D. \sqrt{2}
E. 2