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    # ... intro stuff...
    
    ...
        }
        #------------------------------------
    }
    
  2. or download this
    sub getArcEnd {
      my ($x, $y, $x2, $y2, $start, $extent) = @_;
    ...
      return [ $centerX + $radiusX*cos($radians)
               , $centerY - $radiusY*sin($radians) ];
    }