locus of endpoints of auto able to move on 2 different angles to the right
Source: 2021 Sharygin Geometry Olympiad Finals grades X-XI p8
August 2, 2021
geometryLocusarc
Problem Statement
On the attraction "Merry parking", the auto has only two position* of a steering wheel: "right", and "strongly right". So the auto can move along an arc with radius or . The auto started from a point to the Nord, it covered the distance and rotated to the angle . Find the locus of its possible endpoints.