Problem 52589. Circular Segment Area

Let us consider a circle with radius . If we draw an angle (in radians) from the center of the circle, the two radii forming that angle intersect the circle at A and B. We call the area delimited by the chord and the arc (the so-called Circular Segment, blu in the figure).
For a given radius r and area a, compute the angle t (rounded to 6 significant digits).

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42.86% Correct | 57.14% Incorrect
Last Solution submitted on Feb 27, 2024

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