Lumens (lm) to candela (cd) 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 candela:

Candela to lumens calculator ►

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

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

*I*_{v(cd)} = *Φ*_{v(lm)} / *Ω*_{(sr)}

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 intensity *I*_{v} in candela (cd) is equal to the luminous flux Φ_{v }in lumens (lm),

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

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

So

candela = lumens / ( 2π(1 - cos(degrees/2)) )

Or

cd = lm / ( 2π(1 - cos(°/2)) )

Find the luminous intensity *I*_{v} in candela (cd) when the luminous flux Φ_{v }in lumens (lm) is 350lm and the apex angle is 60°:

*I*_{v(cd)} = 350 lm / ( 2π(1 - cos(60°/2)) ) = 415.7 cd

Find the luminous intensity *I*_{v} in candela (cd) when the luminous flux Φ_{v }in lumens (lm) is 370lm and the apex angle is 60°:

*I*_{v(cd)} = 370 lm / ( 2π(1 - cos(60°/2)) ) = 439.5 cd

Find the luminous intensity *I*_{v} in candela (cd) when the luminous flux Φ_{v }in lumens (lm) is 400lm and the apex angle is 60°:

*I*_{v(cd)} = 400 lm / ( 2π(1 - cos(60°/2)) ) = 475.1 cd

Find the luminous intensity *I*_{v} in candela (cd) when the luminous flux Φ_{v }in lumens (lm) is 500lm and the apex angle is 60°:

*I*_{v(cd)} = 500 lm / ( 2π(1 - cos(60°/2)) ) = 593.9 cd

Find the luminous intensity *I*_{v} in candela (cd) when the luminous flux Φ_{v }in lumens (lm) is 1000lm and the apex angle is 60°:

*I*_{v(cd)} = 1000 lm / ( 2π(1 - cos(60°/2)) ) = 1187.9 cd

Lumens to candela calculation ►

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Our Lumens to candela Calculator allows the users to Calculate Lumens to candela . Some of the prominent features of this utility are explained below.

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