Inscribe a Circle in a Square

This example demonstrates how to construct the incircle of a given square, where the circle is tangent to all four sides of the square. The core mathematical concepts include tangent properties of circles, symmetry of squares and circles, and logical steps in geometric construction. Construction highlights: using GeoGebra commands Segment and Polygon to first build the square (objects A, B, f, poly1), then determining the center via diagonals or midpoints, and setting the radius using perpendiculars or distances, finally generating the incircle (involving objects g, h, i, j, C, D). Suitable for middle school geometry lessons to understand the definition of an incircle, how to locate its center and radius, and the rigor of geometric construction.