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Lumens to millicandela conversion calculator with formuls

Lumens (lm) to millicandela (mcd) calculator and how to calculate.

Lumens to millicandela conversion calculator

Enter the luminous flux in lumens, apex angle in degrees and press the Calculate button

to get the luminous intensity in millicandela:



Enter luminous flux in lumens: lm
Enter apex angle in degrees: °
   
Luminous intensity result in millicandela: mcd



Lumens to millicandela conversion calculation

For uniform, isotropic light source, the luminous intensity Iv in millicandela (mcd) is equal to 1000 times the luminous flux Φv in lumens (lm),

divided by the solid angle Ω in steradians (sr):

Iv(mcd) = 1000 × Φv(lm) / Ω(sr)

 

The solid angle Ω in steradians (sr) is equal to 2 times pi times 1 minus cosine of half the apex angle θ in degrees (°):

Ω(sr) = 2π(1 - cos(θ/2))

 

The luminous intensity Iv in millicandela (mcd) is equal to 1000 times the luminous flux Φv in lumens (lm),

divided by 2 times pi times 1 minus cosine of half the apex angle θ in degrees (°):

Iv(mcd) = 1000 × Φv(lm) / ( 2π(1 - cos(θ/2)) )

So

millicandela = 1000 × lumens / ( 2π(1 - cos(degrees/2)) )

Or

mcd = 1000 × lm / ( 2π(1 - cos(°/2)) )