Multiple choice

Let $ABCDEF$ be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments $AB, AC$ & $AE$ is

  1. $\displaystyle \frac{3}{4}$
  2. $\displaystyle 3\sqrt{3}$
  3. $3$
  4. $\displaystyle \frac{3\sqrt{3}}{2}$
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C Correct answer
Explanation

In a regular hexagon inscribed in a unit circle, the side length is 1. AB=1, AC=sqrt(3), AE=sqrt(3). The product is 1 * sqrt(3) * sqrt(3) = 3.

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