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Lumens/sq. foot/steradian to Candelas/square meter Converter (lm/(ft²·sr) to cd/m²)

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Live Conversion • ISO 80000-7:2019 Certified
1 Lumen/sq. foot/steradian = 10.76391 Candela/square meter
1 lm/(ft²·sr) = 10.76391 cd/m² • 1 cd/m² = 0.092903 lm/(ft²·sr)
Lumen/sq. foot/steradian to Candela/square meter: One Lumen/sq. foot/steradian is equal to 10.76391 Candelas/square meter.
Certified Authority Value
10.76391000
cd/m²
Exact: 1 cd/m² ≡ 0.0929030436 lm/(ft²·sr)
lm/(ft²·sr)
lm/(ft²·sr)
Swap to Candela/square meter to Lumen/sq. foot/steradian
Swap to Candela/square meter to Lumen/sq. foot/steradian
cd/m²
cd/m² 10.76391
Quick Values:
Conversion Formula
To convert Lumen/sq. foot/steradian to Candela/square meter, multiply by 10.76391
lm/(ft²·sr) × 10.76391 = cd/m²

Calculation: 1 lm/(ft²·sr) × 10.76391 = 10.76391 cd/m²

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

Quick-lookup reference table showing calculated equivalents for standard increments between Lumen/sq. foot/steradian (lm/(ft²·sr)) and Candela/square meter (cd/m²).

Tap any row to calculate
Lumen/sq. foot/steradian to Candela/square meter: Primary Direct Table (15 Steps)
Lumen/sq. foot/steradian to Candela/square meter Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 lm/(ft²·sr) 0.0107639 cd/m² 1.076 × 10⁻²
0.01 lm/(ft²·sr) 0.107639 cd/m² 1.076 × 10⁻¹
0.1 lm/(ft²·sr) 1.076391 cd/m² 1.076 × 10⁰
0.5 lm/(ft²·sr) 5.381955 cd/m² 5.382 × 10⁰
1 lm/(ft²·sr) 10.76391 cd/m² 1.076 × 10¹
2 lm/(ft²·sr) 21.52782 cd/m² 2.153 × 10¹
5 lm/(ft²·sr) 53.81955 cd/m² 5.382 × 10¹
10 lm/(ft²·sr) 107.6391 cd/m² 1.076 × 10²
20 lm/(ft²·sr) 215.2782 cd/m² 2.153 × 10²
25 lm/(ft²·sr) 269.09775 cd/m² 2.691 × 10²
50 lm/(ft²·sr) 538.1955 cd/m² 5.382 × 10²
100 lm/(ft²·sr) 1076.391 cd/m² 1.076 × 10³
250 lm/(ft²·sr) 2690.9775 cd/m² 2.691 × 10³
500 lm/(ft²·sr) 5381.955 cd/m² 5.382 × 10³
1000 lm/(ft²·sr) 10763.91 cd/m² 1.076 × 10⁴
Candela/square meter to Lumen/sq. foot/steradian: Reciprocal Summary
Candela/square meter to Lumen/sq. foot/steradian Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cd/m² 0.092903 lm/(ft²·sr) 9.29 × 10⁻²
5 cd/m² 0.464515 lm/(ft²·sr) 4.645 × 10⁻¹
10 cd/m² 0.92903 lm/(ft²·sr) 9.29 × 10⁻¹
50 cd/m² 4.645152 lm/(ft²·sr) 4.645 × 10⁰
100 cd/m² 9.290304 lm/(ft²·sr) 9.29 × 10⁰
View Complete 15-Row Candela/square meter to Lumen/sq. foot/steradian 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 Lumen/sq. foot/steradian (lm/(ft²·sr)) and Candela/square meter (cd/m²):

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)

Candela/square meter References:

  • Commercial cinema movie theater projection screen brightness 50 cd/m²
  • Standard indoor office computer desktop monitor peak brightness 300 cd/m²
  • High-end smartphone HDR screen peak outdoor sunlight brightness 1500 cd/m²
  • Clear blue daytime sky zenith ambient luminance 5000 cd/m²

Tap any benchmark above to automatically calculate its exact equivalent in Candela/square meter.

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

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

Converting Lumen/sq. foot/steradian (lm/(ft²·sr)) to Candela/square meter (cd/m²) is a core calculation in Luminance, which measures the photometric luminous intensity emitted or reflected per unit area in a given direction. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Lumen/sq. foot/steradian equals 10.76391 Candela/square meter, while 1 cd/m² equals 0.092903 lm/(ft²·sr).

Direct Factor1 lm/(ft²·sr) = 10.76391 cd/m²
Inverse Ratio1 cd/m² = 0.092903 lm/(ft²·sr)
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
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 lm/(ft²·sr) = 10.76391 candela per square meter (cd/m²)
2. Target SI Bridge (ktarget):1 cd/m² = 1 candela per square meter (cd/m²)
Step-by-step substitution for Lumen/sq. foot/steradian → Candela/square meter:V(cd/m²) = V(lm/(ft²·sr)) × ( 10.76391 / 1 ) = V(lm/(ft²·sr)) × 10.76391
Mathematical FormulaValue in Candela/square meter = Value in Lumen/sq. foot/steradian × 10.76391Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 75 lm/(ft²·sr), applying the conversion factor yields exactly 807.29325 cd/m². At larger operational scale, 1000 Lumen/sq. foot/steradian corresponds to 10763.91 cd/m².

Inverse check: 1 cd/m² = 0.092903 lm/(ft²·sr).

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

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

Candela/square meter

cd/m²
Standard Unit

A Candela/square meter (cd/m²) is a recognized unit for luminance.

Applications & Practical Context

In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 50 cd/m², a standard indoor office computer desktop monitor peak brightness equals 300 cd/m², a high-end smartphone HDR screen peak outdoor sunlight brightness equals 1500 cd/m².

Physical Setup

A luminance of 1 cd/m² indicates a surface emitting or reflecting 1 Candela/square meter of visible light intensity toward an observer.

Conversion to SI Unit: candela per square meter (cd/m²)
1 cd/m² = 1 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 Candela/square meter
Commercial cinema movie theater projection screen brightness50 cd/m²538.1955 cd/m²
Standard indoor office computer desktop monitor peak brightness300 cd/m²3229.173 cd/m²
High-end smartphone HDR screen peak outdoor sunlight brightness1500 cd/m²16145.865 cd/m²
Clear blue daytime sky zenith ambient luminance5000 cd/m²53819.55 cd/m²
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 lm/(ft²·sr) 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 lm/(ft²·sr) × 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 10.76391 candelas/square meter (cd/m²) in 1 lumen/sq. foot/steradian (lm/(ft²·sr)). To calculate larger amounts manually, simply multiply your total number of lumens/sq. foot/steradian by the conversion multiplier of 10.76391.

The mathematical formula to convert lumens/sq. foot/steradian to candelas/square meter is: [value] * 10.76391 = candelas/square meter. 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 candelas/square meter back to lumens/sq. foot/steradian, you must divide your starting value by 10.76391. Our bidirectional tool automatically computes this inverse equation the moment you type into the candela/square meter input field.

1 Lumen/sq. foot/steradian is larger than 1 Candela/square meter. Specifically, 1 Lumen/sq. foot/steradian equals exactly 10.76391 candelas/square meter, making it 10.7639 times larger (a difference of 1.03 orders of magnitude). Therefore, quantities expressed in candelas/square meter require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Lumen/sq. foot/steradian converts to 10.76391 candelas/square meter. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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