# Candela to lumens calculator

Candela (cd) to lumens (lm) calculator and how to calculate.

## Candela to lumens calculator

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

to get the luminous intensity in candela:

 Enter Luminous intensity in candela: cd Enter apex angle in degrees: ° Luminous flux result in lumens: lm

Lumens to candela calculator ►

### Candela to lumens calculation

For uniform, isotropic light source, the luminous flux Φin lumens (lm) is equal to the luminous intensity Iv in candela (cd),

times the solid angle Ω in steradians (sr):

Φv(lm) = Iv(cd) × Ω(sr)

The solid angle Ω in steradians (sr) is equal to 2 times pi times 1 minus cosine of half the cone 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 candela (cd),

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

Φv(lm) = Iv(cd) × ( 2π(1 - cos(θ/2)) )

So

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

Or

lm = cd × ( 2π(1 - cos(°/2)) )

#### Example 1

Find the luminous flux Φin lumens (lm) when the luminous intensity Iv in candela (cd) is 300cd and the apex angle is 60°:

Φv(lm) = 300cd × ( 2π(1 - cos(60°/2)) ) = 252.5 lm

#### Example 2

Find the luminous flux Φin lumens (lm) when the luminous intensity Iv in candela (cd) is 350cd and the apex angle is 60°:

Φv(lm) = 350cd × ( 2π(1 - cos(60°/2)) ) = 294.6 lm

#### Example 3

Find the luminous flux Φin lumens (lm) when the luminous intensity Iv in candela (cd) is 500cd and the apex angle is 60°:

Φv(lm) = 500cd × ( 2π(1 - cos(60°/2)) ) = 420.8 lm

#### Example 4

Find the luminous flux Φin lumens (lm) when the luminous intensity Iv in candela (cd) is 700cd and the apex angle is 60°:

Φv(lm) = 700cd × ( 2π(1 - cos(60°/2)) ) = 589.2 lm

#### Example 5

Find the luminous flux Φin lumens (lm) when the luminous intensity Iv in candela (cd) is 900cd and the apex angle is 60°:

Φv(lm) = 900cd × ( 2π(1 - cos(60°/2)) ) = 757.6 lm

Candela to lumens calculation ►

## Features of Candela to lumens Calculator

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

#### No Registration

You don’t need to go through any registration process to use the Candela to lumens Calculator. Using this utility, users to Calculate Candela to lumens as many times as you want for free.

#### Fast conversion

This Candela to lumens Calculator offers users the fastest Calculate. Once the user enters the  Candela to lumens values ​​in the input field and clicks the Calculate button, the utility will start the conversion process and return the results immediately.

#### Saves Time and Effort

The manual procedure of Calculator Candela to lumens isn’t an easy task. You must spend a lot of time and effort to complete this task. The Candela to lumens Calculator allows you to complete the same task immediately. You will not be asked to follow manual procedures, as its automated algorithms will do the work for you.

##### Accuracy

Despite investing time and effort in manual Calculation, you might not be able to get your hands on accurate results. Not everyone is good at solving math problems, even if you think you're a pro, there's still a good chance you'll get in accurate results. This situation can be smartly handled with the help of a Candela to lumens Calculator. You will be provided with 100% accurate results by this online tool.

##### Compatibility

The online Candela to lumens converter perfectly works on all operating systems. Whether you have a Mac, iOS, Android, Windows, or Linux device, you can easily use this online Tool without facing any hassle.

###### 100% Free

You don't need to go through any registration process to use this Candela to lumens Calculator. You can use this utility for free and do unlimited Candela to lumens Calculate without any limitations.