Millicandela (mcd) to lumens (lm) calculator and how to calculate.
Enter the luminous flux in lumens, apex angle in degrees and press the Calculate button
to get the luminous intensity in millicandela:
Lumens to millicandela calculator ►
For uniform, isotropic light source, the luminous flux Φv in lumens (lm) is equal to the luminous intensity Iv in millicandela (mcd),
times the solid angle Ω in steradians (sr) divided by 1000:
Φv(lm) = Iv(mcd) × Ω(sr) / 1000
So 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))
So The luminous flux Φv in lumens (lm) is equal to the luminous intensity Iv in millicandela (mcd),
times 2 times pi times 1 minus cosine of half the apex angle θ in degrees (°) divided by 1000:
Φv(lm) = Iv(mcd) × ( 2π(1 - cos(θ/2)) ) / 1000
So
lumens = millicandela × ( 2π(1 - cos(degrees/2)) ) / 1000
Or
lm = mcd × ( 2π(1 - cos(°/2)) ) / 1000
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