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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. Fahrenheit is primarily used in the United States, while Celsius is used globally as the standard unit of temperature measurement.
Fahrenheit scale is named after its developer, Daniel Gabriel Fahrenheit, who invented it in the early 18th century. The Fahrenheit scale has 180 degrees between the freezing point and boiling point of water, with the freezing point set at 32°F and boiling point at 212°F at standard atmospheric pressure. In this lesson, we will be learning about the Fahrenheit to Celsius formula and the method by which we convert 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 Fahrenheit to Celsius formula is also commonly referred to as the F to C formula and is used to convert temperature from Fahrenheit to Celsius.
Understanding how to convert between Fahrenheit and Celsius is important for a variety of applications, from cooking and weather forecasting to science and engineering, and can help you communicate effectively with people from different parts of the world.
 In cooking, for example, recipes from different parts of the world may use either Fahrenheit or Celsius to specify cooking temperatures. Knowing how to convert between the two scales is essential to ensure that the dish is cooked properly.
 Similarly, in weather forecasting, temperatures are often reported in both Fahrenheit and Celsius, so it is important to know how to convert between the two scales.
 In scientific research and engineering, temperature measurements are critical to understanding many physical and chemical processes.
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° C on the Celsius scale, while on the Fahrenheit scale, it is 212° F. Similarly, the freezing point of water on the Celsius scale is 0°C whereas on the Fahrenheit scale, it is 32°F. The F to C formula given in the following section explains the relationship between Fahrenheit and Celsius.
In the above figure, the absolute zero is the temperature at which the molecular motion stops and the matter has no heat to transfer. It is important to understand the difference between these two scales and their reference points when working with temperature measurements in scientific and academic applications.
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
Where,
 C = Measure of temperature in degrees Celsius (°C).
 F = Measure of temperature in degrees Fahrenheit (°F).
Using this formula, the value of the temperature in Fahrenheit can be converted to Celsius by substituting the value of Fahrenheit.
How to Derive Fahrenheit to Celsius Formula?
The Fahrenheit to Celsius Formula can be derived by using the concept of the equation of a line. Here, we will take x = temperature in Fahrenheit and y = temperature in Celsius. Then from the above figure, (32, 0) (= (x_{1}, y_{1}) ) and (212, 100) (= (x_{2}, y_{2})) are two points on the line. Then the slope of the line is:
m = (y_{2}  y_{1})/(x_{2}  x_{1})
= (100  0) / (212  32)
= 100/180
= 5/9
The equation of the line by pointslope form is:
y  y_{1} = m (x  x_{1})
C  0 = 5/9 (F  32)
C = (F  32) × 5/9
Hence, F to C formula is derived.
How to Convert Fahrenheit to Celsius?
To convert Fahrenheit to Celsius, we use the F to C formula: °C = (°F  32) × 5/9. Here, we just substitute the temperature in Fahrenheit and simplify it to get the temperature in Celsius. 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 = 176.7°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 = 17.8°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) 
Differences Between "Fahrenheit to Celsius" and "Celsius to Fahrenheit"
Here are the major differences between the conversions "Fahrenheit to Celsius" and "Celsius to Fahrenheit" in terms of formula, boiling point, freezing point, zero point, and scale.
Fahrenheit to Celsius  Celsius to Fahrenheit  

Formula  °C = (°F  32) × 5/9  °F = (°C × 9/5) + 32 
Boiling Point  212°F  100°C 
Freezing Point  32°F  0°C 
Zero Point  459°F  273°C 
Scale  Widely used in the United States  Widely used in the world 
☛ Related Articles:
 Celsius to Kelvin
 Kelvin to Fahrenheit
 Fahrenheit to Celsius Calculator
 Celsius to Fahrenheit Calculator
Solved Examples of Fahrenheit to Celsius

Example 1: Convert 32° F to C using the relevant formula.
Solution:
Let us substitute the value of ° F 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: 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 the Conversion of 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.
What is the Range of Temperatures in Which the Fahrenheit and Celsius Scales Coincide?
40°F is equal to 40°C. This can be obtained by substituting C = F in F to C formula: C = (F  32) × 5/9. Then we get
F = (F  32) × 5/9
Multiplying both sides by 9:
9F = (F  32) × 5
Distributing 5,
9F = 5F  160
Subtracting 5F from both sides:
4F = 160
Dividing both sides by 4,
F = 40
Since, C = F, C = 40 as well.
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. For detailed information, scroll up this page.
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.
Why do Some Countries use Fahrenheit and Others use Celsius?
The Fahrenheit scale is mainly used in the United States and a few other countries, while the Celsius scale is used in most rest of the parts of the world. This is mainly because of historical reasons and cultural differences.
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.
Why is Knowing the Conversion of Fahrenheit to Celsius Important?
Knowing how to convert between Fahrenheit and Celsius is important in many fields, such as cooking, medicine, and scientific research. It allows people from different countries and cultures to communicate effectively and make decisions based on temperature measurements.
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