The growth of transcendental meromorphic functions in terms of their orders is investigated in this paper when they and their derivatives have radially distributed values following the discussion of the author . A simple andelementary way to study such subjects is exhibited in this paper; that is,once an estimation of B(r,*) in terms of a few C(r,**) in the Nevanlinna theory on angular domains is established, we can produce one result that the order of a mermorphic function with radially distributed values related to C(r,**) can be estimated under the assumption of existence of suitable deficient value. The results obtained in this paper lead us to a new singular direction in terms of Nevanlinna characterstic instead of the order of meromorphic functions.