Is it a segment?

Calculus Level 3

The figure at right shows a unit semicircle (in blue) and the graph of f(x)=x+1f(x)=x+1 (in green).

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

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

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