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Candelas/square foot to Lumens/sq. foot/steradian Converter (cd/ft² to lm/(ft²·sr))

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Live Conversion • ISO 80000-7:2019 Certified
1 Candela/square foot = 1 Lumen/sq. foot/steradian
1 cd/ft² = 1 lm/(ft²·sr) • 1 lm/(ft²·sr) = 1 cd/ft²
Candela/square foot to Lumen/sq. foot/steradian: One Candela/square foot is equal to 1 Lumen/sq. foot/steradian.
Certified Authority Value
1.00000000
lm/(ft²·sr)
Exact: 1 lm/(ft²·sr) ≡ 1 cd/ft²
cd/ft²
cd/ft²
Swap to Lumen/sq. foot/steradian to Candela/square foot
Swap to Lumen/sq. foot/steradian to Candela/square foot
lm/(ft²·sr)
lm/(ft²·sr) 1
Quick Values:
Conversion Formula
To convert Candela/square foot to Lumen/sq. foot/steradian, multiply by 1
cd/ft² × 1 = lm/(ft²·sr)

Calculation: 1 cd/ft² × 1 = 1 lm/(ft²·sr)

Common Candela/square foot to Lumen/sq. foot/steradian Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Candela/square foot (cd/ft²) and Lumen/sq. foot/steradian (lm/(ft²·sr)).

Tap any row to calculate
Candela/square foot to Lumen/sq. foot/steradian: Primary Direct Table (15 Steps)
Candela/square foot to Lumen/sq. foot/steradian Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cd/ft² 0.001 lm/(ft²·sr) 1 × 10⁻³
0.01 cd/ft² 0.01 lm/(ft²·sr) 1 × 10⁻²
0.1 cd/ft² 0.1 lm/(ft²·sr) 1 × 10⁻¹
0.5 cd/ft² 0.5 lm/(ft²·sr) 5 × 10⁻¹
1 cd/ft² 1 lm/(ft²·sr) 1 × 10⁰
2 cd/ft² 2 lm/(ft²·sr) 2 × 10⁰
5 cd/ft² 5 lm/(ft²·sr) 5 × 10⁰
10 cd/ft² 10 lm/(ft²·sr) 1 × 10¹
20 cd/ft² 20 lm/(ft²·sr) 2 × 10¹
25 cd/ft² 25 lm/(ft²·sr) 2.5 × 10¹
50 cd/ft² 50 lm/(ft²·sr) 5 × 10¹
100 cd/ft² 100 lm/(ft²·sr) 1 × 10²
250 cd/ft² 250 lm/(ft²·sr) 2.5 × 10²
500 cd/ft² 500 lm/(ft²·sr) 5 × 10²
1000 cd/ft² 1000 lm/(ft²·sr) 1 × 10³
Lumen/sq. foot/steradian to Candela/square foot: Reciprocal Summary
Lumen/sq. foot/steradian to Candela/square foot Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 lm/(ft²·sr) 1 cd/ft² 1 × 10⁰
5 lm/(ft²·sr) 5 cd/ft² 5 × 10⁰
10 lm/(ft²·sr) 10 cd/ft² 1 × 10¹
50 lm/(ft²·sr) 50 cd/ft² 5 × 10¹
100 lm/(ft²·sr) 100 cd/ft² 1 × 10²
View Complete 15-Row Lumen/sq. foot/steradian to Candela/square foot Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Candela/square foot (cd/ft²) and Lumen/sq. foot/steradian (lm/(ft²·sr)):

Candela/square foot References:

  • Commercial cinema movie theater projection screen brightness 4.6452 cd/ft²
  • Standard indoor office computer desktop monitor peak brightness 27.8709 cd/ft²
  • High-end smartphone HDR screen peak outdoor sunlight brightness 139.35 cd/ft²
  • Clear blue daytime sky zenith ambient luminance 464.52 cd/ft²

Lumen/sq. foot/steradian References:

  • Commercial cinema movie theater projection screen brightness 4.6452 lm/(ft²·sr)
  • Standard indoor office computer desktop monitor peak brightness 27.8709 lm/(ft²·sr)
  • High-end smartphone HDR screen peak outdoor sunlight brightness 139.35 lm/(ft²·sr)
  • Clear blue daytime sky zenith ambient luminance 464.52 lm/(ft²·sr)

Tap any benchmark above to automatically calculate its exact equivalent in Lumen/sq. foot/steradian.

ISQ Dimension: [L⁻² J] Coherent SI Unit: candela per square meter (cd/m²) Photometry, Radiometry, Optics & Acoustics

How to Convert Candela/square foot to Lumen/sq. foot/steradian

Converting Candela/square foot (cd/ft²) to Lumen/sq. foot/steradian (lm/(ft²·sr)) is a core calculation in Luminance, which measures the photometric luminous intensity emitted or reflected per unit area in a given direction. Both units share an identical 1:1 scale equivalence within this physical measurement domain. They represent the exact same physical magnitude under different metrological designations or derived SI formulations (1 cd/ft² ≡ 1 lm/(ft²·sr)). Any quantity expressed in Candela/square foot translates directly to Lumen/sq. foot/steradian without mathematical scaling.

Direct Factor1 cd/ft² = 1 lm/(ft²·sr)
Inverse Ratio1 lm/(ft²·sr) = 1 cd/ft²
Conversion Scale1:1 Direct Dimensional Identity
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (candela per square meter (cd/m²)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 cd/ft² = 10.76391 candela per square meter (cd/m²)
2. Target SI Bridge (ktarget):1 lm/(ft²·sr) = 10.76391 candela per square meter (cd/m²)
Step-by-step substitution for Candela/square foot → Lumen/sq. foot/steradian:V(lm/(ft²·sr)) = V(cd/ft²) × ( 10.76391 / 10.76391 ) = V(cd/ft²) × 1
Mathematical FormulaValue in Lumen/sq. foot/steradian = Value in Candela/square foot × 1Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 cd/ft², applying the conversion factor yields exactly 250 lm/(ft²·sr). At larger operational scale, 1000 Candela/square foot corresponds to 1000 lm/(ft²·sr).

Inverse check: 1 lm/(ft²·sr) = 1 cd/ft².

Understanding Candela/square foot and Lumen/sq. foot/steradian

Candela/square foot

cd/ft²
Imperial / US

A Candela/square foot (cd/ft²) is an imperial and US customary unit for luminance.

Applications & Practical Context

In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 4.6452 cd/ft², a standard indoor office computer desktop monitor peak brightness equals 27.8709 cd/ft², a high-end smartphone HDR screen peak outdoor sunlight brightness equals 139.35 cd/ft².

Physical Setup

A physical magnitude of 1 cd/ft² corresponds to 10.76391 cd/m² in standard SI measurement.

Conversion to SI Unit: candela per square meter (cd/m²)
1 cd/ft² = 10.76391 cd/m²

Lumen/sq. foot/steradian

lm/(ft²·sr)
Imperial / US

A Lumen/sq. foot/steradian (lm/(ft²·sr)) is an imperial and US customary unit for luminance.

Applications & Practical Context

In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 4.6452 lm/(ft²·sr), a standard indoor office computer desktop monitor peak brightness equals 27.8709 lm/(ft²·sr), a high-end smartphone HDR screen peak outdoor sunlight brightness equals 139.35 lm/(ft²·sr).

Physical Setup

A physical magnitude of 1 lm/(ft²·sr) corresponds to 10.76391 cd/m² in standard SI measurement.

Conversion to SI Unit: candela per square meter (cd/m²)
1 lm/(ft²·sr) = 10.76391 cd/m²

Domain Metrology & Engineering Applications

Governing Law & Equation

Surface Photometric Radiance (L_v = d²Φ_v / (dA·cosθ·dΩ))

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using narrow-angle spot luminance meters, imaging colorimeters, and spectroradiometers.

Primary Industry Sectors

Applied across OLED/LCD display brightness calibration (nits), road tunnel entrance lighting, avionics cockpit HUD readability, and highway signage legibility under international metrology standard ISO 80000-7:2019, CIE 018:2019.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Lumen/sq. foot/steradian
Commercial cinema movie theater projection screen brightness50 cd/m²50 lm/(ft²·sr)
Standard indoor office computer desktop monitor peak brightness300 cd/m²300 lm/(ft²·sr)
High-end smartphone HDR screen peak outdoor sunlight brightness1500 cd/m²1500 lm/(ft²·sr)
Clear blue daytime sky zenith ambient luminance5000 cd/m²5000 lm/(ft²·sr)
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-7:2019, CIE 018:2019 and the BIPM SI Brochure (9th Edition). Governed by Surface Photometric Radiance (L_v = d²Φ_v / (dA·cosθ·dΩ)) under ISO 80000 dimensional vector [L⁻² J].

Multi-Variable Engineering Bridge Display Brightness & Surface Emission

Surface Luminance to Total Luminous Intensity Bridge (Candela • Candlepower • Hefnerkerze • Millicandela • Kilocandela)

Calculate total directional luminous intensity I_v = L_v × A from emissive displays and optical diffusers, bridging surface luminance [L⁻² J] and luminous intensity [J] via aperture area (A).

I_v = L_v × A
Vector: [cd/m²] × [m²] → [cd]
Live Calculated Bridge Equivalent:
1 cd/ft² at 15.6" Laptop Display (0.067 m²) = 0.7212 cd
Equals 0.7356 cp • 0.7983 HK • 0.07515 carcel
SI Luminous Intensity
0.7212
cd
Candela
Historical English
0.7356
cp
Candlepower
German Standard
0.7983
HK
Hefnerkerze
French Standard
0.07515
carcel
Carcel Unit
Indicator LED
721.18
mcd
Millicandela
Lighthouse Beacon
0.0007212
kcd
Kilocandela
  1. 1. Normalize Input to SI Base Unit (cd/m²):
    L_v = 1 cd/ft² × 10.76391 = 10.76391 cd/m²
  2. 2. Apply Engineering Parameter (A):
    Selected condition: 15.6" Laptop Display (0.067 m²) at A = 0.067 m²
  3. 3. Execute Governing Physical Law in SI Units:
    I_v = L_v × A = (10.76391 cd/m²) × (0.067 m²) = 0.721182 cd
  4. 4. Convert to Standard Engineering Units:
    • cd: 0.721182 × 1 = 0.7212 cd (Candela) • cp: 0.721182 × 1.02 = 0.7356 cp (Candlepower) • HK: 0.721182 × 1.107 = 0.7983 HK (Hefnerkerze) • carcel: 0.721182 × 0.1042 = 0.07515 carcel (Carcel Unit) • mcd: 0.721182 × 1000 = 721.18 mcd (Millicandela) • kcd: 0.721182 × 0.001 = 0.0007212 kcd (Kilocandela)
Explore Luminous Intensity Converter →
Engineering Substance / Operating Standard Parameter Value (m²) Reference State / Condition Typical Industrial & Engineering Application
6.1" Smartphone Screen (0.009 m²) 0.009 0.009 m² (90 cm²) OLED mobile display panel surface aperture
15.6" Laptop Display (0.067 m²) 0.067 0.067 m² (670 cm²) Commercial notebook IPS screen aperture
55" Ultra HD Television (0.834 m²) 0.834 0.834 m² (8,340 cm²) Living room 4K LED/OLED television surface
LED Replacement Bulb Frosted Lens (0.005 m²) 0.005 0.005 m² (50 cm²) Standard A19 household diffuser globe
Commercial Outdoor LED Billboard (18 m²) 18 18.0 m² (194 ft²) Highway electronic digital billboard face
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Frequently Asked Questions

There are exactly 1 lumens/sq. foot/steradian (lm/(ft²·sr)) in 1 candela/square foot (cd/ft²). To calculate larger amounts manually, simply multiply your total number of candelas/square foot by the conversion multiplier of 1.

The mathematical formula to convert candelas/square foot to lumens/sq. foot/steradian is: [value] * 1 = lumens/sq. foot/steradian. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from lumens/sq. foot/steradian back to candelas/square foot, you must divide your starting value by 1. Our bidirectional tool automatically computes this inverse equation the moment you type into the lumen/sq. foot/steradian input field.

1 Candela/square foot and 1 Lumen/sq. foot/steradian represent the exact same physical magnitude with an identical 1:1 conversion ratio.

Under standard international measurement guidelines, 1 Candela/square foot converts to 1 lumens/sq. foot/steradian. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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