MathDB
2021 Team P15

Source:

March 2, 2021
algebra

Problem Statement

Adam has a circle of radius 11 centered at the origin.
- First, he draws 66 segments from the origin to the boundary of the circle, which splits the upper (positive yy) semicircle into 77 equal pieces. - Next, starting from each point where a segment hit the circle, he draws an altitude to the xx-axis. - Finally, starting from each point where an altitude hit the xx-axis, he draws a segment directly away from the bottommost point of the circle (0,āˆ’1)(0,-1), stopping when he reaches the boundary of the circle. What is the product of the lengths of all 1818 segments Adam drew?
https://cdn.discordapp.com/attachments/813077401265242143/816190774257516594/circle2.png
Proposed by Adam Bertelli