Constructing a Half-Cylinder via Rotation and Circular Arc

This example demonstrates how to build a half-cylinder in GeoGebra by first constructing a 2D semicircular profile and then rotating that profile around an axis to form a 3D solid surface. It highlights key ideas from geometry and solid geometry: creating circular arcs (semicircle from a circumcircle arc), forming planar boundaries with segments and polygons, and using 3D surface generation through rotation. From the construction summary, the model is assembled using GeoGebra commands Segment and Polygon to define the boundary geometry (objects like points/segments), CircumcircleArc to generate the semicircular arc of the cross-section, and Surface combined with Rotate to sweep the profile into the half-cylinder surface. Suitable for high-school advanced geometry, introductory calculus/geometry visualization contexts, and learners who want to connect 2D constructions with 3D shapes using transformation-based modeling.