  We calculate, in d spacetime dimensions, the relationship between the
coefficient 1/K^2 of the Einstein-Hilbert term in the action of general
relativity and the coefficient G_N of the force law that results from the
Newtonian limit of general relativity. The result is
K^2=2[(d-2)/(d-3)]Vol(S^[d-2])G_N, where Vol(S^n) is the volume of the unit
n-sphere. While the d=4 case is an elementary calculation in any general
relativity text, the arbitrary case presented here is slightly less well known.
We discuss the relevance of this result for the definition of the so-called
"reduced Planck mass" and comment very briefly on the implications for brane
world models. [abstract abridged]
