This work introduces a discrete geometric model for the construction of a circle, basedon the hypothesis of a quantized space and the strict exclusion of the analytical continuum. The circular domain does not emerge as the limit of regular polygons, but rather from the progressive development of elementary circular sectors of increasing angular width associated with a step-by-step elongation of discrete radius; these sectors extend from the vertical axis of the circle, structuring their evolution into a numerical staircase pattern. A rectification procedure for the profile of thisstaircase is defined by means of a cutting line passing through the midpoints of the individual steps, thereby isolating right-trapezoid-shaped sections equivalent to the circular sectors of the discrete circle. The ordered accumulation of these elements reduces the measurement of the enclosed area to that of a corresponding equivalent isosceles right triangle. Under specific conditions of structural proportionality—and using a geometric equivalence constant (γ = 5/2) derived from the intrinsic properties of the configuration—it is demonstrated that the construction of this specific discrete model is governed by the exact dimensionless constant k = 25/8, which operates independently of the traditional analytical value of π.