Good n-gon Part II

Geometry Level 4

Two regular 2015-gons are circumscribed to and inscribed to a given circle. The angular point of one of them are joined to each of the angular points of the other.

Denote \(\alpha\) as the sum of squares of the straight lines as drawn, and denote \( \gamma \) as the sum of area of the two polygons.

What is the value of \( \frac { \alpha}{\gamma} \)? Give your answer to 3 decimal places.

Check Out Good n-gon Part I .


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