Relation Between Fahrenheit and Celsius


Fahrenheit and Celsius are the two scales widely used for measuring temperature. The temperature in the Fahrenheit scale is expressed or written in degree Fahrenheit, and the temperature in the Celsius scale is expressed or written in degree Celsius. The relationship between Fahrenheit and Celsius is directly proportional. Besides, both Fahrenheit and Celsius have a different value for the freezing point of water, and both have a different unit difference between each scale.


What are the Units of Fahrenheit and Celsius?

For differentiating the temperature of one scale from another, the units of temperature scale prove to be extremely beneficial. °C denotes the temperature in the Celsius scale, and °F denotes the temperature in the Fahrenheit scale.

 

What is the Relationship Between C and F ?

The relation between C and F shows that both Celsius and Fahrenheit are directly proportional to each other. To be specific, it implies that as the temperature in the Celsius scale increases, the temperature in the Fahrenheit scale also increases. Additionally, when the temperature in the Celsius scale decreases, the temperature in the Fahrenheit scale also decreases. Both the Celsius and Fahrenheit scales have their respective thermometer for measurements.

On the Fahrenheit scale:

32°F = the freezing point of water. 

212°F = the boiling point of water. 

On the Celsius scale:

 0°C = the freezing point of water.

100°C = the boiling point of water.

 

Conversion From Celsius to Fahrenheit 

The following mathematical formula shows the conversion from Celsius to Fahrenheit:

F = ( 9/5 * C) + 32

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

 

Conversion From Fahrenheit to Celsius

The following mathematical formula shows the conversion from Fahrenheit to Celsius:

C = 5/9 (F – 32)

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

 

1. Degree Celsius To Fahrenheit 

For converting 1 degree Celsius to Fahrenheit, we will use the following formula:

F = ( 9/5 * C) + 32

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of C = 1. So, we will substitute the value of C, and find the value of F.

F = ( 9/5 * 1) + 32

F = ( 9/5 ) + 32

F = (9 + 160)/5

F = (169)/5

F = 33.8

So, 1 degree Celsius = 33.8°F

2. Degree Fahrenheit To Celsius

For converting 1 degree Fahrenheit to Celsius, we will use the following formula:

C = 5/9 (F – 32)

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of F = 1. So, we will substitute the value of F, and find the value of C.

C = 5/9 (1 – 32)

C = 5/9 (- 31)

C = - 155/9

C = - 17.2222

So, 1 degree Fahrenheit = - 17.2222°C

 

Solved Examples:

Question 1

Convert 12°F to Celsius. 

Answer:

For converting 12°F to Celsius, we will use the following formula:

C = 5/9 (F – 32)

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of F = 12. So, we will substitute the value of F, and find the value of C.

C = 5/9 (12 – 32)

C = 5/9 (-20)

C = - 100/9

C = - 11.11

So, 12°F = - 11.11°C

 

Question 2

Convert 30°C to Fahrenheit. 

Answer:

For converting 30°C to Fahrenheit, we will use the following formula:

F = ( 9/5 * C) + 32

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of C = 30. So, we will substitute the value of C, and find the value of F.

F = ( 9/5 * 30) + 32

F = ( 9 * 6) + 32

F = 54 + 32

F = 86

So, 30°C = 86°F