A question on Source4 photometrics

A student of mine has asked this question from looking at the photometric data of the Source4 19 degree.

published numbers are: candelas = 243520, Field angle = 19 degrees, field lumens = 11,180

however, if you use the standard formula for calculating lumens,

F = Iv × 2π × (1 - cos(A/2))

you get F = 243520 x 2π x (1 -cos (19/2)) = 20,984 lumens.

Well, I couldn't give a good answer so I'm asking here....ANYONE??

 

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