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math.MG2025
Intersections of random chords of a circle
Cynthia Bortolotto, Victor Souza
Where are the intersection points of diagonals of a regular -gon located? What is the distribution of the intersection point of two random chords of a circle? We investigate the…
math.MG2024
On Extremal Problems Associated with Random Chords on a Circle
Cynthia Bortolotto, João P. G. Ramos
Inspired by the work of Karamata, we consider an extremization problem associated with the probability of intersecting two random chords inside a circle of radius $r, \, r \in (0,1…