Question

Derive the formula for Celsius to Fahrenheit?

Answer 1

Part1: Fahrenheit scale:

• The Fahrenheit scale was named after the German physicist Daniel Gabriel Fahrenheit.
• It makes use of the degree Fahrenheit symbol: “F” as the unit
• On the Fahrenheit scale, the freezing point of water is ${32}^{°}$ $\mathrm{F}$and its boiling point is$212°\mathrm{F}$
• $212°\text{F- 32 °}\mathrm{F}=180°\text{F}$

Part 2: Celcius scale:

• The Celsius scale refers to a temperature scale that is used by the international system of units (SI).
• The degree Celsius symbol °C can refer to a particular temperature on this scale.
• The scale is named after Anders Celsius who was a Swedish astronomer.
• On the Celcius scale, the freezing point of water is $0°\text{C}$ and its boiling point is$100°\text{C}$.
• $\text{100°}\mathrm{C}-0°\text{C = 100°C}$

Part 3: Conversion of °C to °F :

First, multiply by $\frac{180}{100}$ or $\frac{9}{5}$ and then add $32$ .

So, the formula for °C to °F is:

$°\text{F = ( °C ×}\frac{9}{5}\text{) + 32}$