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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2 Comments
Nikolaos Nikolaou
on 16 Oct 2021
nice problem :)
Rafael S.T. Vieira
on 7 Nov 2022
Beautiful problem.
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