Temperature converter
Celsius, Fahrenheit, Kelvin and Rankine, converted with the exact offset formulas and a common-values table.
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Formula: °F = °C × 9/5 + 32
1 °C = 33.8 °F
Common values: degree Celsius to degree Fahrenheit
| °C | °F |
|---|---|
| -40 °C | -40 °F |
| -20 °C | -4 °F |
| -10 °C | 14 °F |
| 0 °C | 32 °F |
| 10 °C | 50 °F |
| 20 °C | 68 °F |
| 25 °C | 77 °F |
| 30 °C | 86 °F |
| 37 °C | 98.6 °F |
| 40 °C | 104 °F |
| 50 °C | 122 °F |
| 100 °C | 212 °F |
How it works
Temperature scales differ in both the size of a degree and where zero sits, so converting needs an offset as well as a factor. The exact relations are °F = °C × 9/5 + 32, K = °C + 273.15 and °R = °F + 459.67, where the Rankine scale is the absolute scale with Fahrenheit-sized degrees still found in some US engineering tables. This converter uses kelvin internally and shows the textbook formula for the pair you pick.
Common reference points: water freezes at 0 °C (32 °F) and boils at 100 °C (212 °F) at sea level; normal body temperature is usually quoted as 37 °C (98.6 °F); −40 is the same in both scales; absolute zero is 0 K, −273.15 °C or −459.67 °F. The converter warns you if a value falls below absolute zero, which is physically impossible.
Because of the offset, temperature differences convert differently from temperatures: a rise of 10 °C is a rise of 18 °F, not 50 °F.
Common temperature conversions
Temperature scales have different zero points, so conversions need an offset as well as a factor. Kelvin and Rankine start at absolute zero and are used in science and engineering.
- 1 °C = 33.8 °F (°F = °C × 9/5 + 32)
- 1 °F = -17.22222222 °C (°C = (°F − 32) × 5/9)
- 1 °C = 274.15 K (K = °C + 273.15)
- 1 °F = 255.9277778 K (K = (°F + 459.67) × 5/9)
Every temperature unit in this converter
Each scale's zero point in kelvin; the converter goes through kelvin for every pair.
| Unit | Zero point |
|---|---|
| degree Celsius (°C) | 273.15 K at 0 °C |
| degree Fahrenheit (°F) | 255.3722222 K at 0 °F |
| kelvin (K) | 0 K at 0 K |
| degree Rankine (°R) | 0 K at 0 °R |
How to use it
- Choose the scale you have and the scale you want.
- Type the temperature in either box (negative values are fine).
- Check the formula line and the table of common temperatures below.
Frequently asked questions
What is the formula to convert Celsius to Fahrenheit?
Multiply by 9/5 (1.8) and add 32: 25 °C × 1.8 + 32 = 77 °F. The reverse is °C = (°F − 32) × 5/9.
Why is there no degree sign on kelvin?
The kelvin is an SI base unit defined on an absolute scale, so it is written "K" without "degree" (since 1967). 0 K is absolute zero and a change of 1 K equals a change of 1 °C.
How do I convert a temperature difference?
Multiply only, without the offset: a difference of 5 °C equals 9 °F (5 × 9/5) and 5 K. Use this for things like "the room warmed by 3 °C".
At what temperature are Celsius and Fahrenheit equal?
At −40: −40 °C = −40 °F. Solve x = x × 9/5 + 32 and you get x = −40.
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