Exploring Shaded Area — Locus and Extremum in Circles and Semicircles

This GeoGebra example demonstrates a shaded area problem involving a triangle's circumscribed circle and semicircles. By constructing triangle ABC with associated circles and semicircles, the Locus command traces the path of a moving point D, exploring how the shaded region's area changes as the point moves along a specific trajectory. The example integrates geometric constructions of circles and