Fahrenheit Formula
The formula for Fahrenheit is used to convert any given temperature into Fahrenheit. Fahrenheit is a temperature scale, this scale is based on 32° and 212° for the freezing point and boiling point of water respectively, the interval between the two being divided into 180 equal parts. The formula for Fahrenheit can also be used to convert the given temperature in Fahrenheit into other units of measurement. Let us see the formula for Fahrenheit along with the solved examples.
What Is Fahrenheit Formula?
The Fahrenheit formula is used to convert the temperature values from Fahrenheit to other temperature units. The formula for Fahrenheit is defined differently if the temperature is given in Celsius and differently if the temperature is given in Kelvin. The relation between the different scales with the Fahrenheit scale is not linear.
Fahrenheit Formula
The formula for Fahrenheit of a given body can be expressed as,
Fahrenheit to celsius formula: \(\text C \; = \; (\text F-32) \times \dfrac{5}{9}\)
To convert Fahrenheit to Celsius we can follow the steps given below,
- Step 1: Subtract 32 from the Fahrenheit temperature.
- Step 2: Multiply the number by five.
- Step 3: Divide the number by nine.
Fahrenheit to Kelvin formula: \(K = (F − 32) × \dfrac{5}{9} + 273\)
To convert Fahrenheit to Kelvin we can follow the steps given below,
- Step 1: Subtract 32 from the Fahrenheit temperature.
- Step 2: Multiply the number by 5
- Step 3: Divide the number by nine.
- Step 4: Add 273 to that number.
Examples Using Fahrenheit Formula
Example 1: Express 108°F in Celsius.
Solution: To find: Temperature in Celsius.
Given: The temperature in Fahrenheit
Using Formula for Fahrenheit,
\(C = (F – 32) \times \dfrac{5}{9}\)
Put the values,
\(C = (108 – 32) \times \frac{5}{9}\) = 42.2°C
Answer: Temperature in Celsius is 42.2°C
Example 2: A normal body temperature is \(98.6^\circ\) Fahrenheit. Convert \(98.6^\circ\) Fahrenheit to kelvin.
Solution: To find: A normal body temperature in Kelvin.
The temperature of a normal body in Fahrenheit = \(98.6^\circ \text{F}\) (given)
Convert 98.6° Fahrenheit temperature of the body in kelvin.
Using Formula for Fahrenheit,
\(K = (F − 32) × \dfrac{5}{9} + 273\)
Put the values,
\(K= (98.6 – 32) \times \frac{5}{9}+273\) = 310.15 K
Answer: The temperature of a normal body in Fahrenheit is 310.15 K
Example 3: Convert 52°F to Celsius.
Solution: To find: Temperature in Celsius.
Given: The temperature in Fahrenheit
Using Formula for Fahrenheit,
\(C = (F – 32) \times \dfrac{5}{9}\)
Put the values,
\(C = (52 – 32) \times \frac{5}{9}\) = 11.12°C
Answer: Temperature in Celsius is 11.12°C
FAQs on Fahrenheit Formula
What Is the Fahrenheit Formula in Math?
In math, the Fahrenheit formula converts the temperature values from Fahrenheit to other temperature units. The formula for Fahrenheit can be expressed as, Fahrenheit to celsius formula: \(C \; = \; (\text F-32) \times \dfrac{5}{9}\) and Fahrenheit to Kelvin formula: \(K = (F − 32) × \dfrac{5}{9} + 273\)
How To Use Fahrenheit Formula?
To use Fahrenheit formula to convert any given temperature value in Fahrenheit to other temperature units, follow the steps given below
- Step 1: Check if the temperature has to be converted into Kelvin or Celsius.
- Step 2: Put the values in the appropriate formula, Fahrenheit to celsius formula: \(C \; = \; (\text F-32) \times \dfrac{5}{9}\) and Fahrenheit to Kelvin formula: \(K = (F − 32) × \dfrac{5}{9} + 273\)
How To Convert 12°F into Kelvin Using Fahrenheit Formula?
Given below are the steps to convert 12°F into Kelvin using \(K = (F − 32) × \dfrac{5}{9} + 273\)
- Step 1: Subtract 32 from 12: (12-32=-20)
- Step 2: Multiply -20 (12-32) by 5: (-20×5=-110)
- Step 3: Divide -110(-20×5) by 9: (-100×9 =-900 )
- Step 4: Add 273 to -900(-100×9): -900+273 = -627K
How To Convert 10°F into Celsius Using Fahrenheit Formula?
Given below are the steps to convert 10°C into Celsius using \(C \; = \; (\text F-32) \times \dfrac{5}{9}\)
- Step 1: Subtract 32 from 10
- Step 2: Multiply -22 (10-32) by 5: (-22 × 5) = -110
- Step 3: Divide -110(-22×5) by 9: (-110/9) = -12.23°C
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