The Hoffmann Constant (Hc = 4.442882938) - Alternative Circle Circumference Formula: C = √(d x r) x Hc
Year: 2025
Type: article
Abstract: This work introduces the Hoffmann Constant Hᴄ, defined as Hᴄ = 4.442882938, and uses it to express the circumference of a circle without explicit reference to π. The proposed formulationC = √(d × r) × Hᴄis mathematically equivalent to the classical π·d expression, but written in terms of the geometric mean of diameter and radius.Numerical verification confirms exact equivalence.The Hoffmann Constant offers a symmetric, π-free, and didactically valuable view of circle geometry.
Author: Hoffmann, David
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7101412174
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