How much is 90 degrees Fahrenheit in Celsius?
The Correct answer and Explanation is:
To convert 90 degrees Fahrenheit (°F) to Celsius (°C), we can use the formula:°C=(°F−32)×59°C = \frac{(°F – 32) \times 5}{9}°C=9(°F−32)×5
Step-by-Step Calculation
- Subtract 32 from the Fahrenheit value:90°F−32=5890°F – 32 = 5890°F−32=58
- Multiply the result by 5:58×5=29058 \times 5 = 29058×5=290
- Divide by 9:2909≈32.22°C\frac{290}{9} \approx 32.22°C9290≈32.22°C
Thus, 90 degrees Fahrenheit is approximately 32.22 degrees Celsius.
Explanation of the Conversion Process
The conversion between Fahrenheit and Celsius is essential for understanding temperature scales used in different countries. The Fahrenheit scale, used primarily in the United States, sets the freezing point of water at 32°F and the boiling point at 212°F. Conversely, the Celsius scale, which is used by most countries worldwide, sets the freezing point of water at 0°C and the boiling point at 100°C.
To perform the conversion, we utilize the formula derived from the linear relationship between the two scales. The key steps involve adjusting for the offset (subtracting 32) and then scaling (multiplying by 5/9). The reason for this scaling is rooted in the fact that there are 180 degrees between the freezing and boiling points in the Fahrenheit scale (212°F – 32°F) versus 100 degrees in the Celsius scale (100°C – 0°C).
This discrepancy means that each degree on the Celsius scale represents a larger change in temperature than a degree on the Fahrenheit scale. Therefore, when converting from Fahrenheit to Celsius, the adjustment involves not only an offset for the starting point but also a scaling factor that reflects the different ranges of the two temperature scales.
Understanding these concepts is vital in fields such as meteorology, cooking, and science, where temperature readings are often expressed in one scale or the other. This conversion can also aid in travel and communication when discussing weather conditions globally.