# 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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