Quote: . . . the spot area in degrees . . .
I find it most useful to think of the 'spot meter', not in degrees of projected area, but rather what it
ignores . . . that it does not integrate exposure readings outside of the 'spot' defined by the lens in use whatever that spot may be at any given time.
Other metering methods do involve some sort of algorithm for incorporating readings for all of the areas in the scene.
Center weighted mode biases for the center of the scene but accounts for edges with some degree of lessor weight.
Various auto modes divide the scene into a matrix and assign weight to each sector in a 'logical' manner based upon an OEM-driven algorithm; useful only if you know what that assigned pattern is. I.e., many auto metering schemes presume that readings from the extreme corners should have less value than from center and horizon sectors. Other choices may bias for landscape patterns, sports-centric shots, etc. (RTFM and experiment)
ALL metering systems require knowledge of what is specifically being metered and when and how that information should be used wisely. Calibration against a standard is useful if not a necessity.
Or . . . ya can just chimp it 'til ya get your blinkies right then PP it into submission!