Fahrenheit to Celsius
In order to convert Fahrenheit to Celsius, we use the formula, °C = (°F  32) × 5/9, in which the value of the temperature in Fahrenheit is placed and we get the value in Celsius. Fahrenheit and Celsius are the scales that are used to measure temperature. In this lesson, we will be learning about the Fahrenheit to Celsius formula and the method by which we convert Fahrenheit to Celsius.
1.  What is Fahrenheit to Celsius? 
2.  Relationship Between Fahrenheit and Celsius 
3.  Fahrenheit to Celsius Formula 
4.  FAQs on Fahrenheit to Celsius 
What is Fahrenheit to Celsius?
Fahrenheit to Celsius is a term that is used when we convert a given temperature from the Fahrenheit scale to the Celsius scale. These two scales are the most commonly used scales that are used to measure temperature. Temperature scales provide a way of measuring how hot or cold a body is. The F to C formula is used to convert temperature from Fahrenheit to Celsius. The Fahrenheit to Celsius formula is also commonly referred to as the F to C formula.
Fahrenheit
Fahrenheit is a temperature scale in which water freezes at 32 degrees and boils at 212 degrees. The symbol used for Fahrenheit is °F and the temperature is written as 32°F, 75°F, and so on.
Celsius
Celsius, which is also referred to as Centigrade is a scale in which water freezes at 0 degrees and boils at 100 degrees. The symbol used for Celsius is °C and the temperature is written as 100°C, 0°C, and so on.
Relationship Between Fahrenheit and Celsius
The relationship between Fahrenheit and Celsius is such that they are directly proportional to each other. When the temperature in the Celsius scale increases, the temperature in the Fahrenheit scale also increases. Similarly, when the temperature in the Celsius scale decreases, the temperature in the Fahrenheit scale also decreases. Furthermore, they have different values for the boiling point and the freezing point of water. This means that the boiling point of water is 100° Celsius as per the Celsius scale, while in the Fahrenheit scale it is 212° Fahrenheit. Similarly, the freezing point of water in the Celsius scale is 0°C whereas in the Fahrenheit scale it is 32°F. The F to C formula given in the following section explains the relationship between Fahrenheit and Celsius.
Fahrenheit to Celsius Formula
The Fahrenheit to Celsius formula (F to C formula) which converts the given temperature value from °F to °C is expressed as:
°C = (°F  32) × 5/9
Using this formula, the value of the temperature in Fahrenheit can be converted to Celsius by substituting the value of Fahrenheit.
Where,
 C = Measure of temperature in degree Celsius (°C).
 F = Measure of temperature in degree Fahrenheit (°F).
Fahrenheit to Celsius Conversion
Fahrenheit to Celsius conversion can be done using the F to C formula given above. This can be understood better with the help of a few examples.
Example 1: Convert 350° Fahrenheit to Celsius.
Solution: Using the Fahrenheit to Celsius formula, °C = (°F  32) × 5/9, let us substitute the value of Fahrenheit as 350. We get, °C = (350°  32) × 5/9 = 176.6°C
Example 2: Convert 0° Fahrenheit to Celsius.
Solution: Let us use the F to C formula to convert 0° Fahrenheit to Celsius. After substituting the value of Fahrenheit as 0°, we get, °C = (°F  32) × 5/9 = (0°  32) × 5/9 = 17.77°C
Fahrenheit to Celsius Conversion Table
The following table shows a few temperature values which are converted from Fahrenheit to Celsius.
Fahrenheit to Celsius  Temperature (in °Celsius) 

32 °F  0°C (Melting point/Freezing point of water) 
41 °F  5°C 
50 °F  10°C 
68 °F  20°C 
86 °F  30°C 
98.6 °F  37°C (Average body temperature) 
104 °F  40°C 
176 °F  80°C 
194 °F  90°C 
212 °F  100°C (Boiling point of water) 
Examples of Fahrenheit to Celsius Conversion

Example 1: Convert 32° F to C using the Fahrenheit to Celsius formula.
Solution:
Let us substitute the value of Fahrenheit in the Fahrenheit to Celsius formula,
°C = (°F  32) × 5/9
°C = (32  32)× 5/9 = 0°C
Answer: 32°F = 0°C

Example 2: What is 31° Fahrenheit in Celsius?
Solution:
Using the Fahrenheit to Celsius formula, we can convert the given temperature to Celsius.
°C = (°F  32) × 5/9
Substituting the value of F = 40
C = (31  32) × 5/9 =  0.55°C
Answer: 31°F =  0.55°C

Example 3: Using the Fahrenheit to Celsius formula, convert the given temperature from Fahrenheit to Celsius: 50° F
Solution:
Let us use the F to C Formula to convert 50° Fahrenheit to Celsius.
°C = (°F  32) × 5/9
Substituting the values,
°C = (50  32) × 5/9= 10°C
Answer: 50°F = 10 °C
FAQs on Fahrenheit to Celsius
What is Fahrenheit to Celsius?
Fahrenheit to Celsius is the conversion of a temperature value from the Fahrenheit scale to the Celsius scale. The relationship between Fahrenheit and Celsius is expressed with the formula, °C = (°F  32) × 5/9; where C represents the value in Celsius and F represents the value in Fahrenheit.
What is the Formula to Convert Fahrenheit to Celsius?
The Fahrenheit to Celsius formula is expressed as °C = (°F  32) × 5/9; in which the value of F (Fahrenheit) is substituted and we get the value in Celsius. This formula converts the given temperature value from Fahrenheit to Celsius.
How to Derive the Fahrenheit to Celsius Formula?
In order to derive the Fahrenheit to Celsius formula, we need to consider their boiling and freezing points and determine the relation between them. This concludes to the formula, °C = (°F  32) × 5/9.
What is the F to C Formula?
The F to C formula is the abbreviated form of the Fahrenheit to Celsius formula which helps to convert the temperature from Fahrenheit to Celsius. It is expressed as °C = (°F  32) × 5/9; in which the value in Fahrenheit is substituted to get the value in Celsius.
How to Convert Fahrenheit to Celsius?
A given temperature can be converted from Fahrenheit to Celsius using the F to C formula (the Fahrenheit to Celsius formula) which is expressed as °C = (°F  32) × 5/9. For example, if we need to convert 40 degrees Fahrenheit to Celsius, we will substitute the value of Fahrenheit in the formula to get, °C = (40°  32) × 5/9 = 4.4°C. This means, 40° F = 4.4°C.
What are the Applications of the Fahrenheit Scale and the Celsius Scale?
The Fahrenheit and Celsius scales are used for weather forecasts and for measuring temperatures. The Fahrenheit scale is used in the United States, whereas most countries measure their weather and temperatures using the Celsius scale.
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