5.260 Begging.

            No person shall physically accost another person for the purpose of begging or soliciting alms upon the streets or in any public place. The above offense is also punishable as a violation and may include a fine not exceeding $720.00 pursuant to SMC section 1.205. [Section 5.260 amended by Ordinance No. 6169, enacted May 15, 2006.]

 ac·cost
əˈkôst,əˈkäst/
verb
verb: accost; 3rd person present: accosts; past tense: accosted; past participle: accosted; gerund or present participle: accosting
   approach and address (someone) boldly or aggressively.
    "reporters accosted him in the street"
    

Ward 1:  Above is the code you reference and a wikepedia definition of "accost."  The code you reference is a specific code addressing "agressive panhandling" and does not cover "panhandling" in a "non-agressive", "non-accosting" fashion.  Such codes are designed to address intimidating efforts and have been found Constiutional.  different thing altogeter.    Gary