by 
The Curious Bag
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<h4 class="dechead">On One Hand: Consider the Room and Light Size
When deciding how many recessed lights to use in a room for general lighting, consider the size of the room and the diameter of the lights. In general, if you're using 4-inch lights, install one light for every 4 square feet of ceiling. With 5-inch lights, install one light for every 5 square feet.
On the Other: Consider Ceiling Height and Light Level
If your ceilings are higher than 8 or 9 feet, you may need to use more lights and space them closer together. You should also use more lights in areas that need task lighting and fewer in areas that only need general lighting.
Bottom Line
Because other factors can affect the amount of light provided by recessed lights, consider buying one light and installing it for testing. Measuring the circle of light that it casts can help you determine the number of recessed lights you'll need for the entire room.
Source:
Forte Electric: How to Lay Out Recessed Cans in the Ceiling
Home Remodeling Help Guide: How Many Recessed Lights Should Be in a Room?
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