# Online Millicandela to lumens Calculator

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# Millicandela to lumens calculator

Millicandela (mcd) to lumens (lm) calculator and how to calculate.

### Millicandela to lumens calculator

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

to get the luminous intensity in millicandela:

#### Millicandela to lumens

It is a conversion calculator used to convert the luminous intensity in Millicandela to luminous flux in lumens. It is comprised of two text fields and two controls each performing an independent function of the calculator. Since Millicandela and lumens are of different quantities, the apex angle in degrees is required for the conversion to be successful. The initial step is to enter the value of luminous intensity in Millicandela. Proceed to the next text field and enter the apex angle in degrees then click the ‘Calculate’ button. If you want to perform new conversions you will use the ‘Reset’ button to clear the previous calculations from the text fields. The luminous flux result in lumens will be displayed below the two controls in the bottom platform of the calculator.

#### For example;

Determine the luminous flux in lumens if the luminous intensity in Millicandela is 156 (mcd) with an apx angle of 64°.

When using the calculator, you will first enter 156 as the value in Millicandela and 64 as the apex angle in degrees respectively. Afterwards, click the ‘Calculate’ button to initiate the conversion.

The luminous flux result in lumens will be; 0.14893974726 lm.

For uniform, isotropic light source, the luminous flux Φ_{v }
in lumens (lm) is equal to the luminous intensity *I*_{v} in millicandela (mcd),

times the solid angle *Ω* in steradians (sr) divided by 1000:

*Φ*_{v(lm)} = *I*_{v(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 Φ_{v }
in lumens (lm) is equal to the luminous intensity *I*_{v} in millicandela (mcd),

times 2 times pi times 1 minus cosine of half the apex angle *θ* in degrees (°) divided by 1000:

*Φ*_{v(lm)} = *I*_{v(mcd)} × ( 2π(1 - cos(*θ*/2)) ) / 1000

So

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

Or

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