I believe that constants are implemented as functions and have package scope the same as other functions. 
C:\Users\Bill\forums\monks>type scope.pl
use strict;
use warnings;
use constant PI => 3.14;
my $pi = PI;
package B{
    my $pi = PI;
}


C:\Users\Bill\forums\monks>perl scope.pl
Bareword "PI" not allowed while "strict subs" in use at scope.pl line 
+6.
Execution of scope.pl aborted due to compilation errors.

[download]
Bill

In reply to Re^3: Which "use" statements in a module do "bubble up" to the callers? by BillKSmith
in thread Which "use" statements in a module do "bubble up" to the callers? [SOLVED] by Nocturnus

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