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Lux to Candela Calculator

Convert lux (lx) to candela (cd) at a distance: cd = lx × d² (meters) or cd = lx × d(ft)² ÷ 10.76391. Reverse candela to lux. Runs locally in your browser.

Instant result
Result

Enter values to calculate.

Inputs
Mode
Formula
Trust summary Engine tested · Specification checked · v1.1.0
Input interpretation
Enter values to calculate.
Result
Model
Luminous intensity from illuminance and distance, or illuminance from intensity and distance.
Scope
Point source
Verification
Engine tested · Specification checked · v1.1.0
Named expert review
Optional · Not performed
Specification basis
  • Inverse-square law: I = E × d² for SI units
  • 1 m² = 10.76391 ft²
Specification basis

Formulas

Core equations used by this calculator.

Candela (meters)cd = lx × d(m)²
Candela (feet)cd = lx × d(ft)² ÷ 10.76391
Lux (meters)lx = cd ÷ d(m)²
Lux (feet)lx = 10.76391 × cd ÷ d(ft)²
iAssumes a point source and normal incidence. Not the same as luminance (cd/m²), which describes brightness of a surface. At 1 m, for a surface of 1 m² subtending 1 sr, lux and candela numerical values match under the point-source model.

How to use

1

Choose direction and units

lx → cd or cd → lx, with distance in meters or feet.

2

Enter lux (or candela) and distance

Use the lux-meter reading and the source-to-surface distance.

3

Read candela or illuminance

Result follows the inverse-square law for a point source on a facing surface.

Example calculations

Common configurations with formula and result.

ϟ

500 lx · 3 m

Default (meters)

500 × 3²
4500 cd
ϟ

500 lx · 10 ft

Default (feet)

500 × 10² ÷ 10.76391
≈ 4645.2 cd
ϟ

1 lx · 1 m

Definition check

1 × 1²
1 cd
ϟ

400 lx · 5 m

Spotlight check

400 × 5²
10,000 cd
ϟ

cd → lx

500 cd · 3 m

500 ÷ 3²
≈ 55.56 lx

Related light quantities (not interchangeable)

Common values at a glance.

QuantityUnitWhat it measures
Illuminancelx (lm/m²)Light landing on a surface
Luminous intensitycd (lm/sr)Light in a direction from the source
Luminous fluxlmTotal light output
Luminancecd/m² (nit)Brightness of a surface as seen
i This calculator links lux ↔ candela via distance. Luminance (cd/m²) is a different quantity — do not treat it as lux × d².

Lux to Candela calculator specification

Version 1.1.0 · Engine tested

Calculation status
  • Engine tested 4 published cases
  • Named expert review Not performed
  • Calculation version 1.1.0

Review policy

Definition
Lux (lx) is illuminance on a surface (lm/m²); candela (cd) is luminous intensity in a direction. For a point source and a surface facing the light, I = E × d². With d in meters: cd = lx × d². With d in feet: cd = 0.09290304 × lx × d(ft)² (same as lx × d(ft)² ÷ 10.76391).
What it calculates
Luminous intensity from illuminance and distance, or illuminance from intensity and distance.
Inputs
  • Lux (lx) or candela (cd)
  • Distance in meters or feet
Outputs
  • Candela (lx → cd) or lux (cd → lx)
Formula
I=E·d² (m); I=E·d²/10.76391 (ft)
Assumptions
  • Point source
  • Surface facing the source (normal incidence)
Units
  • lx, m → cd
  • lx, ft → cd
Boundary conditions
  • d = 0 → intensity 0 in UI product path; avoid physically
Example
500 lx, 3 m → 4500 cd
Validation cases

4 published on this page

  • 500 lx, 3 m → 4500 cd
  • 500 lx, 10 ft → ≈ 4645.15 cd
  • 1 lx, 1 m → 1 cd
  • 500 cd, 3 m → lx → ≈ 55.5556 lx
Specification basis
  • Inverse-square law: I = E × d² for SI units
  • 1 m² = 10.76391 ft²
Calculation version
1.1.0

Background

Interpretation and common distinctions.

Convert lux (lx) to candela (cd) at a known distance using the inverse-square law.

I((cd)) = E((lx)) × d((m))² I((cd)) = (E((lx)) × d((ft))²)/10.76391

Default: 500 lx · 3 m → 4500 cd.

Lux vs candela vs luminance

Quantity Unit Measures
Lux (lx) lm/m² Illuminance — light on a surface
Candela (cd) lm/sr Intensity — light from the source in a direction
Luminance cd/m² How bright a surface looks (not this calculator)

At 1 m, under the ideal model, 1 lx ↔ 1 cd numerically. Farther away, the same lux implies higher source intensity.

Notes

  • Point-source model; extended luminaires need photometry for design work.
  • Oblique incidence multiplies illuminance by cosα.
  • Candlepower is an older name for candela.

Other calculators in this family: Candela to Lux, Lumen to Candela, Lumen to Lux, Foot-Candles to Lux .

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Frequently asked questions

Key distinctions behind the calculation.

How do I convert lux to candela?

Multiply by distance squared: cd = lx × d² with d in meters. With d in feet: cd = lx × d(ft)² ÷ 10.76391.

What is the difference between lux and candela?

Lux is how bright a surface is (illuminance). Candela is how intense the source is in a direction. Distance links them for a point source.

Is candela per square metre the same as this?

No. cd/m² is luminance (surface brightness, sometimes called nit). This tool converts illuminance (lux) to intensity (candela) using distance.

Why is there a factor for feet?

Lux is per square meter. Converting the inverse-square law when d is in feet uses 1 m² = 10.76391 ft² → factor 0.09290304.

Is 1 lx at 1 m equal to 1 cd?

Yes, under the point-source / normal-incidence model: I = E × d² → 1 × 1² = 1 cd.

Do I need beam angle?

Not for lux ↔ candela at a known distance. Beam angle is needed when relating candela to total lumens.

Can I convert candela back to lux?

Yes — use cd → lx: lx = cd ÷ d² (meters), or lx = 10.76391 × cd ÷ d(ft)².

What about oblique surfaces?

Illuminance falls by cos(α) when light hits at angle α. This calculator assumes the surface faces the source.