area bisector of mushroom-gon (2023 Novosibirsk Oral Geo Oly 8.6)
Source:
September 4, 2023
geometryareasareaconstructiongeometric construction
Problem Statement
Let's call a convex figure, the boundary of which consists of two segments and an arc of a circle, a mushroom-gon (see fig.). An arbitrary mushroom-gon is given. Use a compass and straightedge to draw a straight line dividing its area in half.
https://cdn.artofproblemsolving.com/attachments/d/e/e541a83a7bb31ba14b3637f82e6a6d1ea51e22.png