Relation between Celsius and Fahrenheit

Relation between the Celsius and the Fahrenheit is directly proportional to each other which means that if the temperature in the Celsius scale increases, then temperature in the Fahrenheit scale will also increase. The Celsius and Fahrenheit are the two most important measuring scales with different values and the various units on temperature deal with various concepts in concern with the relation between the two.

Keyterms: Celsius, Fahrenheit, temperature, Celsius scale, Fahrenheit scale, Freezing point, melting point, boiling point

---

What are the Centigrade Scale and the Fahrenheit Scale?

[Click Here for Sample Questions]

The Celsius scale was Invented in 1742 by the Swedish astronomer Anders Celsius. It is also called the centigrade scale because of the 100-degree interval between the defined points. The temperature in the centigrade scale shall be expressed in degrees Celsius.

Centigrade Scale

The Fahrenheit scale is a temperature scale which was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It uses the degree Fahrenheit as the unit.

Fahrenheit Scale

Relation Between Celsius and Fahrenheit

The relation between the Celsius and the Fahrenheit is directly proportional to each other which means that if the temperature in the Celsius scale increases, then the temperature in the Fahrenheit scale will also increase. But both have a different freezing point in case of water and both tend to follow the varied unit differences between each scale on the basis of their different nature, for instance,

On the Celsius scale, the temperatures are as follows

0°C = the freezing point of water.

100°C = the boiling point of water.

On the Fahrenheit scale, the temperatures are as follows

32°F = the freezing point of water.

212°F = the boiling point of water.

Relation Between Celsius and Fahrenheit

---

Units of Celsius and Fahrenheit

[Click Here for Sample Questions]

The units of temperature can be measured using different scales which prove to be useful in determining the different temperatures from one scale to another. Such as:

• The temperature in the Celsius scale is denoted by °C. Example: 2°C
• The temperature in the Fahrenheit scale is denoted by °F. Example: 2°F 

---

Derivation of the relation between Celsius and Fahrenheit

[Click Here for Sample Questions]

The derivation of the relation between the two units of the temperature, that is, the Celsius and the Fahrenheit, could be proved with the help of the mathematical equation as mentioned below.

As the freezing point of water in celsius scale is 0°C and in fahrenheit scale is 32°F, we get the equation,

C − 0 = F − 32

Dividing it by the total number of intervals in the scale (100 degree interval for celsius scale and 180 degree interval for fahrenheit scale) we get,

→ (C − 0) / 100 = (F − 32) / 180

→ C / 100 = (F − 32) / 180

→ C / 5 = (F − 32) / 9

In the above proving equations

F → Temperature in Fahrenheit.

C → Temperature in Celsius.

---

Conversions

[Click Here for Sample Questions]

From Celsius to Fahrenheit: The conversion of units from Celsius to Fahrenheit could be expressed through a mathematical equation as mentioned below.

F = (9 / 5 × C) + 32

For instance, In order to convert 2 degree Celsius into Fahrenheit, the above given formula shall be used such as:

F = (9 / 5 X 2) + 32

Therefore, the value of F shall be 35. 6 °F 

From Celsius to Fahrenheit

From Fahrenheit to Celsius: The conversion of units from Fahrenheit to Celsius could be expressed through a mathematical equation as mentioned below.

C = 5 / 9 (F − 32)

For instance, In order to convert 2 degrees Fahrenheit into Celsius, the above given formula shall be used such as:

C = 5 / 9 (2 – 32)

Therefore, the value of C shall be 16. 666 °C

The derivation relation and the function between the Fahrenheit and the Celsius represents the ease in measuring temperature and contribute in understanding the counter effects of each other. 

---

Things to Remember

• The temperature in the centigrade scale shall be expressed in degrees Celsius.
• The temperature in the fahrenheit scale shall be expressed in degrees Fahrenheit.
• 0 °C is the freezing point of water on a celsius scale whereas 32 °F is the freezing point on a fahrenheit scale.
• 100 °C is the boiling point of water on a celsius scale whereas 212 °F is the freezing point on a fahrenheit scale.
• The Celsius scale has a 100 degree interval and Fahrenheit scale has 180 degree interval.
• The formula to convert celsius to fahrenheit is F = (9 / 5 × C) + 32
• The formula to convert fahrenheit to celsius scale is C = 5 / 9 (F − 32)