We provide a short and elementary proof of the main technical result recent article “Uniqueness Clifford torus with prescribed isoperimetric ratio” by Thomas Yu Jingmin Chen [Proc. Amer. Math. Soc. 150 (2022), pp. 1749–1765]. The key new is an explicit expression central function ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="sans-...