Millicandela to lumens calculator

Millicandela to lumens calculator

Millicandela (mcd) to lumens (lm) calculator with conversion formula.

How to calculate?

Enter the power in watts, luminous efficacy in lumens per watt, surface area in square feet / meters or spherical radius in feet / meters and press the Calculate button to get the illuminance in lux:

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


Lux to watts calculator

The conversion formula for millicandela to lumens are:

For uniform, isotropic light source, the luminous flux Φin 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

 

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 flux Φin 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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