Doubt from solution of triangles

#1

The set S consists of 2008 points evenly spaced on a circle of radius 1 (so that S forms the vertices of a regular 2008-sided polygon). 3 distinct points X, Y, Z in S are chosen at random. The expected value of the area of 4 \Delta XYZ can be written in the form r cot ( {\pi} \over 2008 )

#2

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#3

@Sourav_Dey sir , if it is possible can u upload a more clearer image than this