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Problem 9 - Entrance Test

What is the area of a regular hexagon inscribed in a circle of radius 2?

Correct: D

A regular hexagon can be divided into 6 equilateral triangles with side length equal to the radius of the circle. The area of one equilateral triangle with side length 2 is (√3/4)*2^2 = √3. So the area of the hexagon is 6√3.