Celsius to Fahrenheit Formula Definition, Conversion, & Kelvin Formula

celsius to fahrenheit formula

Celsius, also called centigrade, is a temperature unit based on 0° for the freezing point temperature of the water and 100° for the boiling point of water. Invented in 1742 by Swedish astronomer Anders Celsius, it is sometimes called the centigrade scale because of the 100-degree interval between defined points.

For Celsius to Fahrenheit formula can be used to convert temperature from its representation on the Fahrenheit (°F) scale to a Celsius (°C) value:

°C = 5/9(°F − 32)

The Celsius scale is in everyday use wherever the metric system of units is used, and it is used in most scientific work everywhere.

Celsius to Fahrenheit Formula

Celsius used 0° for the boiling point of water and 100° for the melting point of ice. It was later inverted to place 0° at the cold end and 100° at the hot end, and in that form, it was widely used.

What is Fahrenheit

The Fahrenheit temperature scale was proposed by Daniel Gabriel Fahrenheit in 1724 and was replaced by the Celsius temperature scale in most countries in the mid to late 20th century.

On the Fahrenheit scale,  32 degrees Fahrenheit (°F) is the freezing point of water, and the boiling point is 212 °F (at standard atmospheric pressure). This places the water boiling and freezing points precisely 180 degrees apart. Therefore, the degree on the Fahrenheit scale is 1∕180 of the interval between the freezing and boiling points.

On the Celsius scale, the water freezing and boiling points are 100 degrees apart. A temperature interval of 1 °F equals an interval of 5∕9 degrees Celsius. The Fahrenheit and Celsius scales meet at −40° (−40 °F and −40 °C represent the same temperature).

Celsius to Fahrenheit

Celsius to Fahrenheit Convert degrees from Celsius units to Fahrenheit units. Temperature scales provide a way of calculating how much hot or cold a body is in Fahrenheit and Celsius temperature scales. Water freezes at 32 degrees.  Fahrenheit boils at 212° Fahrenheit on the scale, while water freezes at 0° Celsius and boils at 100° Celsius on the Celsius or Centigrade scale.

The symbol used for Fahrenheit is °F, while for Celsius, it is °C. Thus, the Celsius to Fahrenheit formula is commonly referred to as the C to F formula.

Celsius to Kelvin Formula

The Celsius to Fahrenheit formula is a conversion formula for converting a given temperature from °C to °F. We know that the water freezing point is 0 degrees on the Celsius scale and 32 degrees on the Fahrenheit scale. Still, the boiling point of water is 100° degrees on the Celsius measurement scale and 212° degrees on the Fahrenheit measurement scale. The formula for converting Celsius to Fahrenheit is

°F = °C × (9/5) + 32.

We can use this formula to convert temperature measures from Celsius to Fahrenheit (C to F).

To convert degrees from Celsius to Fahrenheit, we can follow the steps given below:

  • Step 1: Identify the temperature value in Celsius.
  • Step 2: Multiply the given temperature by 9.
  • Step 3: Divide the product by 5.
  • Step 4: Add 32 to that number. That will be the required value in degrees Fahrenheit (°F).

Celsius to Fahrenheit Formula in C

Fahrenheit formula = 9/5 x Celsius + 32


F = 9/5 x 0 + 32 = 32

F= 9/5 x 100 + 32 = 180 + 32 = 212

If you need to convert Celsius quickly to Fahrenheit, here is a simple trick: multiply the temperature in degrees Celsius by two and then add 30 to get the (estimated) temperature in degrees Fahrenheit.

For example, if you’re in Canada and the weather radio says it’s 20 degrees before you put on gloves and a heavy coat, we can say 2×20+30 =~70F.

F= 9/5 x 20 + 32 = 68

Two degrees F error is close enough for deciding how to dress. So, rather than the heavy coat, no coat at all!

What is the formula to convert degrees from Fahrenheit to Celsius?

They are two different scales, and there is a linear relationship between the two scales. If I plot the temperature in C and F, they fall in a straight line. A formula is nothing but an equation for a straight line.

  • Water boils at 100 C on the Celsius scale and 212 on the Fahrenheit scale.
  • Similarly, if you observe the freezing point, it is 0 C and 32 F.

The formula to convert degrees from Fahrenheit to Celsius is

F = (9/5)*C + 32


The temperature range between the water freezing and boiling points in degrees Celsius is 100 degrees, while the temperature range in degrees Fahrenheit is 180 degrees. This means that for every 1 degree Celsius rise, there is a 1.8 degree Fahrenheit rise.

However, the temperature range in degrees Fahrenheit does not start at 0 as in degrees Celsius, but instead at 32. That means 32 should be added. To convert degrees from Celsius to Fahrenheit, use the following formula:

°F = °C × (9/5) + 32.

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