# Is it a segment?

Calculus Level 4

The figure above shows a unit semicircle (in blue) and $$f(x)=x+1$$ (in green).

Let the purple line segment $$AB$$ be the longest vertical line segment that joins the blue and green lines in the domain $$[-1,0].$$

If $$R$$ is the area of the black shaded region, what is $$\left\lfloor 100R \right\rfloor ?$$

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