I've converted many a man cave and dependant on distance, loading and usage would dictate what kind of setup you require. Because the distance is so close the option of using an elevated supply cable is an option, however you should actually be measuring either the distance from your meter supply or from the consumer unit. Most Electricians should not connect the shed via the consumer unit in the house as you should have independance from household electrics should anything occur in either not affecting both.
As Russell said you should provide it with its own localised mini consumer unit and be aware your requirements and that the circuits you have installed are adequate. Please also be aware that unless you carry out some major work to the walls and structure of the shed, then the location is still classed as a temporary structure and therefore all sockets, switches and light fixtures should either be IP rated or suitable for the environment.
Lastly any shed having powered supplied to it is notifiable under building regulations and therefore will require the statuatory paperwork involved and applicable fees, unless you use a Part P qualified Electrician who is part of a Competent Person Scheme (ie NAPIT, ECA, NICEIC).