Degree Reaumur to Degree Centigrade (°Ré to °C) Conversion Calculator

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-5:2019 Certified

1 Degree Réaumur = 1.25 Degree Centigrade

1 °Ré = 1.25 °C • 1 °C = 0.8 °Ré

Decimals:

Certified Authority Value

1.25000000

°C

From / Input

°Ré

Swap to Degree Centigrade to Degree Réaumur

To / Result

°C

Quick Values:

Conversion Formula

To convert Degree Réaumur to Degree Centigrade, convert to Celsius and then to Degree Centigrade

°Ré → °C → °C

Calculation: 1 °Ré = 1.25 °C

Common Degree Réaumur to Degree Centigrade Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Degree Réaumur (°Ré) and Degree Centigrade (°C).

Tap any row to calculate

Degree Réaumur to Degree Centigrade: Primary Direct Table (15 Steps)

Rule: 1 Degree Réaumur is equal to 1.25 °C (Degree Centigrade)

Degree Réaumur to Degree Centigrade Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
-40 °Ré -50 °C	-5 × 10¹
-20 °Ré -25 °C	-2.5 × 10¹
-10 °Ré -12.5 °C	-1.25 × 10¹
0 °Ré 0 °C	0
5 °Ré 6.25 °C	6.25 × 10⁰
10 °Ré 12.5 °C	1.25 × 10¹
15 °Ré 18.75 °C	1.875 × 10¹
20 °Ré 25 °C	2.5 × 10¹
25 °Ré 31.25 °C	3.125 × 10¹
30 °Ré 37.5 °C	3.75 × 10¹
37 °Ré 46.25 °C	4.625 × 10¹
50 °Ré 62.5 °C	6.25 × 10¹
100 °Ré 125 °C	1.25 × 10²
200 °Ré 250 °C	2.5 × 10²
500 °Ré 625 °C	6.25 × 10²

Degree Centigrade to Degree Réaumur: Reciprocal Summary

Rule: 1 Degree Centigrade is equal to 0.8 °Ré (Degree Réaumur)

Degree Centigrade to Degree Réaumur Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
0 °C 0 °Ré	0
20 °C 16 °Ré	1.6 × 10¹
37 °C 29.6 °Ré	2.96 × 10¹
100 °C 80 °Ré	8 × 10¹
500 °C 400 °Ré	4 × 10²

View Complete 15-Row Degree Centigrade to Degree Réaumur Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Degree Réaumur (°Ré) and Degree Centigrade (°C):

Degree Réaumur References:

Water freezing to boiling interval on historical Reaumur scale 80 °r

Degree Centigrade References:

Water freezing to boiling span on traditional centigrade scale 100 °C

Tap any benchmark above to automatically calculate its exact equivalent in Degree Centigrade.

ISQ Dimension: [Θ] Coherent SI Unit: kelvin (K) Thermodynamics & Heat Transfer

How to Convert Degree Réaumur to Degree Centigrade

Converting Degree Réaumur (°Ré) to Degree Centigrade (°C) is a core calculation in Temperature Interval, which measures the differential magnitude of temperature change or thermal gradient regardless of origin baseline. Converting between these temperature scales requires calibrating both the incremental degree size and the thermodynamic reference baseline.

Direct Factor1 °Ré = 1.25 °C

Inverse Ratio1 °C = 0.8 °Ré

Conversion ScaleNon-Linear Affine Offset & Interval Scale

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 (kelvin (K)) without arbitrary rounding:

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 (k_source):1 °Ré = 1.25 kelvin (K)

2. Target SI Bridge (k_target):1 °C = 1 kelvin (K)

Step-by-step substitution for Degree Réaumur → Degree Centigrade:V(°C) = V(°Ré) × ( 1.25 / 1 ) = V(°Ré) × 1.25

Mathematical FormulaValue in Degree Centigrade = Value in Degree Réaumur × 1.25Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Degree Réaumur (°Ré) produces 150 Degree Centigrade (°C). In heavy-duty utility and industrial workloads, 480 °Ré equals 600 °C.

Inverse check: 1 °C = 0.8 °Ré.

Understanding Degree Réaumur and Degree Centigrade

Domain Metrology & Engineering Applications

Governing Law & Equation

Thermodynamic Temperature Gradient (ΔT = T₂ - T₁)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using differential thermocouple thermopiles, dual-channel RTD bridge monitors, and infrared thermal imaging cameras.

Primary Industry Sectors

Applied across heat exchanger thermal efficiency rating, building insulation certification, electronic cooling design, and climate testing under international metrology standard ISO 80000-5:2019.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019 and the BIPM SI Brochure (9th Edition). Governed by Thermodynamic Temperature Gradient (ΔT = T₂ - T₁) under ISO 80000 dimensional vector [Θ].

Multi-Variable Engineering Bridge Thermal Expansion & Dilatation

Temperature Interval to Elongation Bridge (Meters • Millimeters • Centimeters • Inches • Feet)

Calculate linear expansion ΔL = α × L₀ × ΔT across architectural alloys and piping materials on a 10-meter structural member, bridging temperature interval [Θ] with physical elongation [L].

Input Temperature Differential (ΔT): °Ré

Select Material Expansion Coefficient: 1.2 × 10⁻⁵ 1/K

Governing Law: ΔL = α × L₀ × ΔT

Vector: [K] × [1/K] × [10m] → [m]

Live Calculated Bridge Equivalent:

1 °Ré at Structural Carbon Steel (ASTM A36) = 0.00015 m

Equals 1.5 × 10⁻⁷ km • 0.015 cm • 0.15 mm

SI Length

0.00015

Meters

Geographic Scale

1.5 × 10⁻⁷

Kilometers

Engineering Scale

0.015

Centimeters

Precision Machining

0.15

Millimeters

US Architectural

0.0004921

Feet

US Tooling

0.005906

Inches

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (K):
ΔT = 1 °Ré × 1.25 = 1.25 K
2. Apply Engineering Parameter (α):
Selected condition: Structural Carbon Steel (ASTM A36) at α = 1.2 × 10⁻⁵ 1/K
3. Execute Governing Physical Law in SI Units:
ΔL = α × L₀ × ΔT = (10 m) × (1.2 × 10⁻⁵ 1/K) × (1.25 K) = 0.00015 m
4. Convert to Standard Engineering Units:
• m: 0.00015 × 1 = 0.00015 m (Meters) • km: 0.00015 × 0.001 = 1.5 × 10⁻⁷ km (Kilometers) • cm: 0.00015 × 100 = 0.015 cm (Centimeters) • mm: 0.00015 × 1000 = 0.15 mm (Millimeters) • ft: 0.00015 × 3.2808 = 0.0004921 ft (Feet) • in: 0.00015 × 39.3701 = 0.005906 in (Inches)

Explore Full Thermal Expansion Converter →

Engineering Substance / Operating Standard	Parameter Value (1/K)	Reference State / Condition	Typical Industrial & Engineering Application
Structural Carbon Steel (ASTM A36)	`1.2 × 10⁻⁵`	α = 12.0 × 10⁻⁶ / K	Standard structural building steel
Structural Aluminum (6061-T6)	`2.31 × 10⁻⁵`	α = 23.1 × 10⁻⁶ / K	Extruded curtain walls & framing
Pure Copper (C11000)	`1.65 × 10⁻⁵`	α = 16.5 × 10⁻⁶ / K	Plumbing lines & busbars
Reinforced Concrete (Normal Weight)	`1.2 × 10⁻⁵`	α = 12.0 × 10⁻⁶ / K	Civil engineering concrete
Invar 36 (Ultra-Low Expansion Alloy)	`1.2 × 10⁻⁶`	α = 1.2 × 10⁻⁶ / K	Precision optical measurement benches

Frequently Asked Questions

There are exactly 1.25 degree centigrades (°C) in 1 degree réaumur (°Ré). To calculate larger amounts manually, simply multiply your total number of degree réaumurs by the conversion multiplier of 1.25.

The mathematical formula to convert degree réaumurs to degree centigrades is: [value] * 1.25 = degree centigrades. 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 degree centigrades back to degree réaumurs, you must divide your starting value by 1.25. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree centigrade input field.

A temperature of 1 Degree Réaumur corresponds to 1.25 Degree Centigrade. In terms of incremental temperature steps, a 1-degree change in Degree Réaumur equals a 1.25-degree change in Degree Centigrade.

Under standard international measurement guidelines, 1 Degree Réaumur converts to 1.25 degree centigrades. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are exactly 1.25 Degree Centigrade in 1 Degree Reaumur (1 °r = 1.25 °C). The Réaumur scale divides the water freezing-boiling span into 80 units versus 100 in Centigrade.

The mathematical formula to calculate Degree Centigrade (V(°C)) from Degree Reaumur (V(°r)) is: V(°C) = V(°r) × 1.25.

To convert a temperature interval from Degree Centigrade (V(°C)) to Degree Reaumur (V(°r)), multiply by 0.8: V(°r) = V(°C) × 0.8.

A temperature interval of 80 °r across the freezing (0 °r) and boiling (80 °r) points of water corresponds precisely to a 100 °C interval (80 × 1.25 = 100 °C) under standard atmospheric pressure.