Formulas are derived, by direct integration of the defining definite integrals, for the general geometric mean distance between (i) a point and a line segment; (ii) a point and a rectangular area; (iii) two parallel line segments; (iv) two orthogonal line segments; (v) a line segment and a parallel‐sided rectangular area; (vi) two parallel‐sided rectangular areas. Certain useful identities of the formula for the last‐named case are presented.