The Olympiad Puzzle That Stumped Mathematicians

In this video, I solve an original geometry problem inspired by math olympiads. The challenge: find the angle alpha (α) in a half circle by comparing areas of triangles and circle segments. Along the way, I use formulas such as: area of a triangle = 1/2 * a * b * sin(gamma) area of a circular segment = 1/2 * alpha * r^2 I also solve a trigonometric equation involving the sine function. This is a fun mix of geometry, trigonometry, and creative problem solving. Perfect if you enjoy olympiad-style puzzles, elegant solutions, or just love exploring math ideas! Topics covered: geometry, circle problems, areas, sine, trigonometry, olympiad math. Can you solve it before I reveal the solution? 00:00 Intro 00:19 - 05:05 Solution Part 1: Area Calculation 05:05 - 10:18 Solution Part 2: Solving The Equation 10:18 - 10:23 Subsribe! - Outro