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Fahrenheit to Celsius Formula (°F to °C)

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Fahrenheit to Celsius formula is the conversion of the units to measure temperature. It is seen in our daily lives that when the temperature of anything, say water, is measured, the unit is denoted as Celsius. The body temperature is often denoted in Fahrenheit. However, both temperature scales are easily convertible to each other. Before learning how to convert Fahrenheit to Celsius, let’s learn more about the terms Fahrenheit and Celsius units in detail.

Fahrenheit to Celsius Converter (F to C Converter)

Fahrenheit to Celsius converter is a free online tool prepared at Geeksforgeeks to easily convert the Fahrenheit value of temperature to the Celsius value of temperature. The Fahrenheit to Celsius converter is added below:

Fahrenheit Definition

Fahrenheit is a scale of temperature. Its unit is the degree Fahrenheit (°F). This unit is named after physicist Daniel Gabriel Fahrenheit, who first proposed this temperature scale in 1724. On the Fahrenheit scale, the water freezes at 32°F and boils at 212°F under normal conditions. Fahrenheit is also the U.S. customary measurement unit of temperature.

Celsius Definition

Celsius is also a scale of temperature. Its unit is the degree Celsius (°C). This unit was named after astronomer Anders Celsius in 1948. On the Celsius scale, the water freezes at 0°C and boils at 100°C under normal conditions. Almost the whole world uses Celsius for temperature measurement aside from the U.S. Celsius is sometimes referred to as Centigrade.

What is Fahrenheit to Celsius(F to C) Conversion Formula?

To convert Fahrenheit to Celsius, the formula used is °C = 5/9(°F – 32). Using Fahrenheit to Celsius formula (F to C formula), the temperature in Fahrenheit can easily be converted into Celsius. The Celsius to Fahrenheit conversion is added in the image below:

Fahrenheit to Celsius formula

Example: Convert 80 Fahrenheit to Celsius.

Given Temperature = 80 °F

Using the Formula, °C = 5/9(°F – 32)

C = 5/9(80 – 32)

C = 26.67°C

Hence, 80°F = 26.67°C

As mentioned above, the freezing point and boiling point in the Fahrenheit scale are 32°F and 212°F, respectively. Similarly, for Celsius, it is 0°C and 100°C, respectively.

Let’s assume a graph in which the X-axis corresponds to Fahrenheit and the Y-axis corresponds to Celsius, the graph for the same is added below:

Fahrenheit Celsius Graph

Now to calculate the slope of this graph we use the Slope Formula (m) = Δy/Δx

Consider,

y1 = 0, y2 = -17.78

Δy = y2 – y1

Δy = -17.78

x1 = 32, x2 = 0

Δx = x2 – x1

Δx = -32

Slope (m) = Δy/Δx 

= -17.78/-32 

= 5/9

Using the Slope-Line form of Line

°C = 5/9(°F – 32)

Fahrenheit to Celsius Conversion (F to C Conversion)

Fahrenheit to Celsius conversion is achieved using the formula:

°C = 5/9(°F – 32)

We can also use the Fahrenheit to Celsius converter added above to convert the Fahrenheit temperature to Celsius temperature value.

Celsius to Fahrenheit Formula

In order to convert Celsius to Fahrenheit, a specific formula is used. Celsius to Fahrenheit formula or C to F is obtained from the above given Fahrenheit to Celsius formula, and hence, Celsius to Fahrenheit formula will be °F = 9/5°C + 32. By using the formula, we can convert any temperature given in Celsius to Fahrenheit. 

Fahrenheit to Celsius Formula

Example: Convert 35.5 Celsius to Fahrenheit?

Given Temperature = 35.5 °C

°F = 9/5°C + 32

°F = 9/5 (35.5) + 32

°F = 63.9 + 32

°F = 95.9

How to Convert Fahrenheit to Celsius

Fahrenheit to Celsius Conversion is achieved using the steps added below as:

Step 1: First of all, whatever value is given in Fahrenheit, subtract 32 from the value.

Step 2: Now the value should be multiplied by 5.

Step 3: The last step is to divide the value obtained in step 2 by 9.

Fahrenheit to Celsius Conversion Shortcut

A simplified method for converting Fahrenheit (°F) to Celsius (°C) involves subtracting 30 from the Fahrenheit temperature and then dividing the result by 2 to obtain an approximate Celsius value.

The formula for this approximation is:

Celsius (approx.) = (Fahrenheit − 30)/2​

Example: Suppose we have a Fahrenheit temperature of 86°F. Using the simplified approximation method:

Celsius (approx) = (86−30)/2 ​= 56/2 = 28°C

So, according to the approximation, 86°F is approximately equal to 28°C.

Fahrenheit to Celsius (F to C) Conversion Table

A table for temperature can be formed for any temperature unit using the temperature conversion formula. Here, the above formula is used to make the table. Temperature values converted from Fahrenheit to Celsius are shown below:

Fahrenheit

Celsius

0°F

-17.78°C 

32°F

0°C (Freezing/melting point of water)

50°F

10°C

70°F

21.11°C

98.6°F

37°C (Normal body temperature)

104°F

40°C

140°F

60°C

212°F

100°C (Boiling point of water)

Fahrenheit to Celsius to Kelvin Chart

The following chart provides conversions between Fahrenheit, Celsius, and Kelvin temperature scales:

Fahrenheit (°F) Celsius (°C) Kelvin (K)
-40 -40 233.15
-22 -30 243.15
-4 -20 253.15
14 -10 263.15
32 0 273.15
50 10 283.15
68 20 293.15
86 30 303.15
104 40 313.15
122 50 323.15
140 60 333.15
158 70 343.15
176 80 353.15
194 90 363.15
212 100 373.15

Solved Questions on Fahrenheit to Celsius Conversion (F to C)

Question 1: Convert 80 Fahrenheit to Celsius (F to C).

Solution: 

Given Temperature = 104 °F

Using F to C formula, °C = 5/9(°F – 32)

C = 5/9(104 – 32)

C = 40 °C

Hence, 104 °F = 40 °C

Question 2: Convert 75 Fahrenheit to Celsius (F to C).

Solution:

Given Temperature = 75 °F

Using F to C formula, °C = 5/9(°F – 32)

C = 5/9(75 – 32)Status

C = 23.9°C

Hence, 75 °F = 23.9 °C

Question 3: Convert 100 Fahrenheit to Celsius (F to C).

Solution:

Given Temperature = 100 °F

Using F to C formula, °C = 5/9(°F – 32)

C = 5/9(100 – 32)

C = 37.77°

Hence, 100°F = 37.77°C

Question 4: Convert 108 Fahrenheit to Celsius (F to C).

Solution:

Given Temperature = 108 °F

Using F to C formula, °C = 5/9(°F – 32)

C = 5/9(108 – 32)

C = 42.22°

Hence, 108°F = 42.22°C

Question 5: Convert 98.6 Fahrenheit to Celsius (F to C).

Solution:

Given Temperature = 98.6 °F

Using F to C formula, °C = 5/9(°F – 32)

C = 5/9(98.6 – 32)

C = 37°

Hence, 98.6°F = 37°C

Practice Questions on Fahrenheit to Celsius (F to C)

Q1: Convert 6 Fahrenheit to Celsius (°F to °C).

Q2: Convert 1.5 Fahrenheit to Celsius (°F to °C).

Q3: Convert 2.5 Fahrenheit to Celsius (°F to °C).

Q4: Convert 54 Fahrenheit to Celsius (°F to °C).

Q5: What is 9 Fahrenheit to Celsius (°F to °C)?

Q6. What is Fahrenheit to Celsius (°F to °C)?

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FAQs about Fahrenheit to Celsius (F to C) Formula

How to convert Fahrenheit to Celsius?

Fahrenheit to Celsius conversion formula represents the conversion of Fahrenheit degrees to Celsius degrees on temperature scale. The formula used to convert Fahrenheit to Celsius is: °C = 5/9(°F – 32).

What is Celsius to Fahrenheit Conversion?

Celsius to Fahrenheit conversion (C to F) can easily be obtained from the above formula. The formula obtained to convert Celsius to Fahrenheit is: °F = 9/5°C + 32.

What are Applications of Fahrenheit scale and Celsius scale?

The Fahrenheit scale and Celsius scale are used to measure temperature and for the weather forecasting. Both of the scales can be used, however, Fahrenheit scale is extensively used in the USA.

How do you convert F to C easily?

To convert the Fahrenheit the value to Celsius value, i.e. F to C we use the Fahrenheit to Celsius converter added above in the article.

How do you mentally convert F to C?

To convert from Fahrenheit to Celsius we take the temperature in Fahrenheit, subtract 30 from it, and then divide the answer by 2. This method does not gives the exact answer but gives the approximate value of F to C conversion.

What is 212°F to Celsius?

212°F is equal to 100°C. i.e. 212°F = 100°C.

What is 97°F to Celsius?

97°F is equal to 36.1°C. i.e. 97°F = 36.1°C.

What is 32 degrees Fahrenheit in Celsius?

32 degrees Fahrenheit in Celsius is equal to 0 degree Celsius.

What 13 C to F?

13 ℃ in faherenheit is equal to 55.4 ℉.



Last Updated : 12 Mar, 2024
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