BMT 2022 Geometry #4 / General #21
Source:
August 12, 2023
geometry
Problem Statement
On regular hexagon with side length , bears are initially placed at , forming an equilateral triangle. At time , all of them move clockwise along the sides of the hexagon at the same pace, stopping once they have each traveled unit. What is the total area swept out by the triangle formed by the three bears during their journey?