Lumen to Candela Calculator

Calculate Candela





Formula

The formula to calculate Candela (\(cd\)) from Lumens (\(lm\)) is:

\[ cd = \frac{lm}{2 \pi (1 - \cos(\theta / 2))} \]

Where:

Definition

Lumens (lm) measure the total amount of visible light emitted by a source. Candela (cd) measures the luminous intensity in a specific direction.

The apex angle is the angle at the tip of a cone, defining the spread of the light.

How to calculate Candela from Lumens

Let's assume the following values:

Using the formula:

\[ cd = \frac{1000}{2 \pi (1 - \cos(30 / 2))} \]

Evaluating:

\[ cd = \frac{1000}{2 \pi (1 - \cos(15))} \]

The Candela is approximately 4670.8 cd.

Conversion Chart

Lumens (lm) Apex Angle (degrees) Candela (cd)
100 10 4,182.4525
100 20 1,047.6063
100 30 467.0838
100 40 263.9063
100 50 169.8700
100 60 118.7949
100 70 88.0048
100 80 68.0279
100 90 54.3389
200 10 8,364.9049
200 20 2,095.2127
200 30 934.1676
200 40 527.8125
200 50 339.7400
200 60 237.5897
200 70 176.0097
200 80 136.0557
200 90 108.6778
300 10 12,547.3574
300 20 3,142.8190
300 30 1,401.2514
300 40 791.7188
300 50 509.6099
300 60 356.3846
300 70 264.0145
300 80 204.0836
300 90 163.0167
400 10 16,729.8098
400 20 4,190.4254
400 30 1,868.3352
400 40 1,055.6250
400 50 679.4799
400 60 475.1795
400 70 352.0193
400 80 272.1114
400 90 217.3556
500 10 20,912.2623
500 20 5,238.0317
500 30 2,335.4190
500 40 1,319.5313
500 50 849.3499
500 60 593.9743
500 70 440.0242
500 80 340.1393
500 90 271.6945
600 10 25,094.7147
600 20 6,285.6381
600 30 2,802.5028
600 40 1,583.4375
600 50 1,019.2199
600 60 712.7692
600 70 528.0290
600 80 408.1671
600 90 326.0334
700 10 29,277.1672
700 20 7,333.2444
700 30 3,269.5866
700 40 1,847.3438
700 50 1,189.0899
700 60 831.5641
700 70 616.0338
700 80 476.1950
700 90 380.3723
800 10 33,459.6196
800 20 8,380.8507
800 30 3,736.6703
800 40 2,111.2500
800 50 1,358.9598
800 60 950.3589
800 70 704.0387
800 80 544.2228
800 90 434.7112
900 10 37,642.0721
900 20 9,428.4571
900 30 4,203.7541
900 40 2,375.1563
900 50 1,528.8298
900 60 1,069.1538
900 70 792.0435
900 80 612.2507
900 90 489.0501
1000 10 41,824.5246
1000 20 10,476.0634
1000 30 4,670.8379
1000 40 2,639.0625
1000 50 1,698.6998
1000 60 1,187.9487
1000 70 880.0483
1000 80 680.2785
1000 90 543.3890