[header] How to approach a stray cat [title] Leave out a bowl of dry cat food. [step] You will need to start by gaining the cat's trust, as this will make approaching the cat much easier. You can gain the stray cat's trust by leaving out a bowl of dry cat food where they can see it. 
The stray cat is likely hungry and will be more inclined to approach your area if you present it with food. [substeps] Place the dry cat food in a bowl close to the cat or in the area where the cat is hanging out.