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Start the planGmat_mission wrote:
In the figure above, equilateral hexagon ABCDEF is inscribed in the circle with center G, which has a diameter of 16. What is the length of AB?
A. \(16\)
B. \(8\sqrt{3}\)
C. \(6\sqrt{3}\)
D. \(8\)
E. \(4\sqrt{3}\)
[spoiler]OA=D[/spoiler]
An equilateral hexagon can be broken up into 6 equal, equilateral triangles. Since the diameter of the circle is 16, each side of the triangle must be 8, and thus side AB (which also makes up a side of one of the equilateral triangles must also be 8.
Anaswer: D
Source: Princeton Review
