Cyclic polygons. (See if you can do this without a calculating aid)

Geometry Level 5

The area of an n-sided polygon inscribed inside a unit circle is represented by \(A_n,\)

If \(\lfloor A_{2015} \rfloor = a\) and if \(b\) is the minimum value of \(n\) such that

\(\lceil A_b \rceil= \lceil A_{99} \rceil\)

then find \(a+b\).


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