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Relation Between Celsius and Fahrenheit - Detailed Guide

Relation Between Celsius and Fahrenheit - Detailed Guide

Team Careers360Updated on 02 Jul 2025, 05:07 PM IST

In this article, we are going to study about the relationship between celsius and fahrenheit, how to convert 1 degree celsius to fahrenheit and vice versa , what is fahrenheit scale , what is celsius scale , how to convert 0 degree fahrenheit to celsius , 0 celsius to fahrenheit ( 0 c to f ) .

This Story also Contains

  1. Relationship between celsius and fahrenheit/ relationship between celcius and farenheit/ relation between degree celsius and fahrenheit
  2. Relationship between celsius and fahrenheit
  3. Difference between celsius and fahrenheit
Relation Between Celsius and Fahrenheit - Detailed Guide
Relation Between Celsius and Fahrenheit

During this we will also have a glance at , what is centigrade , fahrenheit definition , celsius to fahreheit formula derivation , and celsius and fahrenheit thermometer.

So let’s start our discussion one by one .

Relationship between celsius and fahrenheit/ relationship between celcius and farenheit/ relation between degree celsius and fahrenheit

The conversion formula for a temperature that is expressed on the Centigrade scale ( C ) to its Fahrenheit scale ( F ) representation is or the relationship between Celsius and Fahrenheit scale is:

F = 9 / 5 C + 32.

Celsius temperature scale is also known as centigrade temperature scale , it is the scale based on 0 for the freezing point of water and 100 for the boiling point of water.

Also read -

What is centigrade ?

Celsius is also called a centigrade. It is also the unit of temperature. It is based on 0° for the freezing point of water and 100° for the boiling point of water. The formula used to convert the temperature from the Fahrenheit ( °F ) scale to the Celsius ( °C ) value is :

°C = 5/9(°F − 32).

The Celsius scale is used generally when the metric system of units is used , also it has wide use in science field everywhere.

Also read :

Definition of fahrenheit or what is fahrenheit scale ?

Fahrenheit is a scale used for measuring temperature degree, in which water freeze down at 32 degrees and boils at 212 degrees. It is represented by the symbol °F. It was invented by physicist Daniel Gabriel Fahrenheit in the year 1724.

The given formula can be used to convert degree Celsius to it’s Fahrenheit :

°F = ( 9/5 x °C ) + 32 .

Fahrenheit is widely used in the United States by the National Weather Service of the US.

Celsius to fahreheit formula derivation

Derivation of relation between Celsius and Fahrenheit.

By examining for similarity, the number of degrees from the freezing point of water to water’s boiling point on Celsius and Fahrenheit scale to find out the ratio and add in the dissimilarity between the freezing points.

The Fahrenheit freezing point of water is 32∘ F and water’s boiling point is 212∘ F.

212 ∘F−32 ∘F = 180 ∘F

between the freezing point and boiling point of water.

The Celsius freezing point of water is 0 ∘C and water’s boiling point is 100 ∘C.

100 ∘C – 0 ∘C = 100∘C between water's freezing and boiling points.

Hence, results in a relationship between Celsius to Fahrenheit of 100180 or 59, and
hence, results in a relationship between Fahrenheit to Celsius of 180100 or 95.

We got,

32∘F = 0∘C , therefore

The formula for ∘C to ∘F is

(∘C × 9/5) + 32 = ∘F

Related Topics Link,

Commonly Asked Questions

Q: What's the relationship between the size of a degree in Celsius and Fahrenheit?
A:
One degree Celsius is larger than one degree Fahrenheit. Specifically, 1°C = 1.8°F. This means that the Celsius scale has larger degree increments, which is why there are fewer degrees between water's freezing and boiling points in Celsius (100) compared to Fahrenheit (180).
Q: Why is 37°C considered normal body temperature, but we often hear 98.6°F?
A:
37°C and 98.6°F are the same temperature. The discrepancy in how we express it comes from the different scales and rounding. 37°C converts exactly to 98.6°F. Historically, 98.6°F became the commonly cited number in Fahrenheit-using countries, while 37°C is used in Celsius-using countries.
Q: Is there a "triple point" for Celsius and Fahrenheit scales?
A:
While not typically called a "triple point" in this context, there is a unique point where Celsius, Fahrenheit, and Kelvin scales align. This occurs at -40°, where Celsius and Fahrenheit readings are the same, and the Kelvin temperature is 233.15 K.
Q: How do I convert temperature differences or intervals between scales?
A:
To convert a temperature difference or interval from Celsius to Fahrenheit, multiply by 1.8 (or 9/5). From Fahrenheit to Celsius, multiply by 5/9. Unlike converting actual temperatures, you don't need to add or subtract 32 when converting intervals.
Q: How do negative temperatures work in these scales?
A:
Negative temperatures in both scales simply indicate temperatures below the scale's zero point. In Celsius, negative temperatures are below water's freezing point. In Fahrenheit, negative temperatures are below 0°F, which is colder than water's freezing point (32°F).

Relationship between celsius and fahrenheit

Celsius and fahrenheit scale is formulated as:

°C = 5/9 (°F − 32)

Similarly, we found relation between fahrenheit scale and celsius scale (convert farahenheit to celsius )

°F = ( 9/5 x °C ) + 32

Commonly Asked Questions

Q: Why do we use fractions (5/9 and 9/5) in temperature conversions?
A:
These fractions represent the ratio between Celsius and Fahrenheit degrees. There are 100 Celsius degrees between water's freezing and boiling points, but 180 Fahrenheit degrees. The ratio 180/100 simplifies to 9/5, and its reciprocal is 5/9. These fractions ensure accurate conversion between the scales.
Q: What's the exact formula to convert Celsius to Fahrenheit?
A:
The exact formula is: °F = (°C × 9/5) + 32. This formula applies the correct scale factor (9/5) between Celsius and Fahrenheit degrees and adjusts for the different zero points by adding 32.
Q: At what temperature is a Celsius reading twice the Fahrenheit reading?
A:
This occurs at -40°. At this temperature, both scales give the same numerical reading (-40), so the Celsius reading is indeed twice the Fahrenheit reading. This is a unique point where the scales align in this way.
Q: Why do we add 32 when converting Celsius to Fahrenheit?
A:
We add 32 because the Fahrenheit scale starts at a different point than Celsius. While 0°C represents the freezing point of water, this same point is at 32°F on the Fahrenheit scale. The addition of 32 accounts for this offset between the two scales.
Q: How do I convert Fahrenheit to Celsius?
A:
To convert Fahrenheit to Celsius, use the formula: °C = (°F - 32) × 5/9. First, you subtract 32 to adjust for the different zero points, then multiply by 5/9 to account for the different scale divisions.

Difference between celsius and fahrenheit

Celsius scale

  • Celsius is the scale of temperature in which 0 o C represents the melting point of ice while 100 o C represents the boiling point of water.
  • The absolute zero in the Celsius scale is 273.15 o C.
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Fahrenheit scale

  • Fahrenheit is a scale of temperature in which 32 o F represents the melting point of water.
  • The absolute zero in Fahrenheit is - 459.67 o C

Also, now we can draw a celsius vs fahrenheit graph

GRAPH BETWEEN C AND F

Celsius vs fahrenheit graph

NCERT Physics Notes:

How to convert 0 degree fahrenheit to celsius and 0 celsius to fahrenheit ( 0 c to f ) .

The formula used convert 0 degree Fahrenheit to Celsius on and zero degree Celsius to Fahrenheit is given as follows

°C = 5/9 (°F − 32) . . . . 1

°F = ( 9/5 x °C ) + 32 . . . . 2

0 degree Celsius is equal to 32 degrees Fahrenheit from eq 1.

0 degree Fahrenheit is equal to -17.778 degrees Celsius from eq 2.

Hence through this article we all have now an exact idea of the relationship between celsius and fahrenheit , how to convert 1 degree celsius to fahrenheit and vice versa , what is fahrenheit scale , what is celsius scale , how to convert 0 degree fahrenheit to celsius , 0 celsius to fahrenheit ( 0 c to f ) , what is centigrade , fahrenheit definition , celsius to fahrenheit formula derivation , and celsius and fahrenheit thermometer.

Also check-

Commonly Asked Questions

Q: Why do we need two different temperature scales like Celsius and Fahrenheit?
A:
We have two scales primarily due to historical reasons. Celsius was developed by Anders Celsius in Sweden, while Fahrenheit was created by Daniel Gabriel Fahrenheit in the Netherlands. Both scales were based on different reference points and gained popularity in different regions. Today, Celsius is more widely used in scientific contexts and most countries, while Fahrenheit is still common in the United States for everyday use.
Q: What's the fundamental difference between Celsius and Fahrenheit scales?
A:
The fundamental difference lies in their reference points and scale divisions. Celsius uses the freezing (0°C) and boiling (100°C) points of water at standard atmospheric pressure as its main reference points, with 100 divisions between them. Fahrenheit, however, uses 32°F for water's freezing point and 212°F for its boiling point, with 180 divisions between these points.
Q: Why does water freeze at 0°C but 32°F?
A:
This difference is due to how the scales were originally defined. Celsius was designed with 0° as water's freezing point, while Fahrenheit used 0° for the lowest temperature Fahrenheit could produce in his lab (a mixture of ice, water, and salt). The 32°F freezing point of water was a result of Fahrenheit's calibration method, not an arbitrary choice.
Q: Is there a temperature where Celsius and Fahrenheit readings are the same?
A:
Yes, Celsius and Fahrenheit scales intersect at -40°. This means -40°C is equal to -40°F. This is the only point where the two scales give the same numerical reading.
Q: How can I quickly estimate Celsius temperatures in Fahrenheit?
A:
A rough estimation can be made by doubling the Celsius temperature and adding 30. For example, 20°C would be approximately (20 × 2) + 30 = 70°F. This method isn't exact but can give you a quick mental estimate. For more precision, you'd need to use the exact conversion formula.

Frequently Asked Questions (FAQs)

Q: How do the Celsius and Fahrenheit scales relate to human comfort levels?
A:
Human comfort levels can be described using either scale, but people tend to relate better to the scale they're most familiar with. Generally, room temperature is considered around 20-22°C or 68-72°F. The Fahrenheit scale was originally calibrated with human body temperature in mind, which might make it feel more intuitive for some.
Q: What role do Celsius and Fahrenheit play in understanding heat transfer?
A:
Both scales can be used to understand heat transfer, as they both measure temperature differences. The key is understanding that heat flows from higher to lower temperatures, regardless of the scale used. In scientific calculations, temperature differences are often more important than absolute values.
Q: How do Celsius and Fahrenheit compare in terms of precision in everyday use?
A:
Fahrenheit offers slightly more precision without using decimals due to its smaller degree size. However, for most everyday purposes, this additional precision is not necessary. Celsius, with its larger degree size, is often sufficient for general weather and cooking needs.
Q: How do the Celsius and Fahrenheit scales impact climate change discussions?
A:
The choice of scale can affect the perception of climate change data. A 2°C increase (a common threshold in climate discussions) might seem small, but it's equivalent to 3.6°F, which might sound more significant to those used to the Fahrenheit scale. Scientists typically use Celsius to maintain consistency in global discussions.
Q: How do Celsius and Fahrenheit affect cooking instructions and food safety guidelines?
A:
Cooking instructions and food safety guidelines are typically given in the scale most commonly used in a particular country. In Celsius-using countries, common cooking temperatures might be
Q: Is there a simple way to estimate Fahrenheit temperatures below freezing in Celsius?
A:
For temperatures below freezing, you can use this rough estimate: for every 10°F below 32°F, subtract about 5.5°C from 0°C. For example, 22°F is 10°F below freezing, so it's approximately -5.5°C. This method isn't exact but can give a quick mental estimate.
Q: How do the Celsius and Fahrenheit scales affect the perception of temperature changes?
A:
Because Fahrenheit degrees are smaller, a one-degree change in Fahrenheit represents a smaller temperature difference than a one-degree change in Celsius. This can affect how people perceive temperature changes, with Fahrenheit users potentially being more sensitive to small variations.
Q: Why does the Fahrenheit scale have a larger range between freezing and boiling points of water?
A:
The larger range in Fahrenheit (180°F between freezing and boiling) compared to Celsius (100°C) is due to the different definitions of the scales. Fahrenheit chose his scale divisions to avoid fractions in common temperature measurements of his time, resulting in smaller degree increments.
Q: How do I convert a temperature range given in one scale to the other?
A:
To convert a temperature range, you need to convert both the lower and upper limits separately. For example, to convert 20-30°C to Fahrenheit:
Q: How do the Celsius and Fahrenheit scales relate to absolute zero?
A:
Absolute zero, the lowest possible temperature, is -273.15°C or -459.67°F. The Kelvin scale is defined with 0 K at absolute zero, making it easy to relate Celsius to absolute temperatures (just add 273.15). Fahrenheit requires a more complex conversion.
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