- F 3. Fahrenheit – Celsius conversion
100 deg * C =
98.6 deg * F =
20 deg * C =
39.4 deg * F =
- 20 deg * C =
- 40 deg * F =
The Correct Answer and Explanation is :
Let’s go through the conversions step by step:
- 100 degrees Celsius to Fahrenheit: The formula to convert Celsius to Fahrenheit is: [
F = \left( \frac{9}{5} \times C \right) + 32
] For ( C = 100 ): [
F = \left( \frac{9}{5} \times 100 \right) + 32 = 180 + 32 = 212
] 100°C = 212°F - 98.6 degrees Fahrenheit to Celsius: The formula to convert Fahrenheit to Celsius is: [
C = \frac{5}{9} \times (F – 32)
] For ( F = 98.6 ): [
C = \frac{5}{9} \times (98.6 – 32) = \frac{5}{9} \times 66.6 = 37
] 98.6°F = 37°C - 20 degrees Celsius to Fahrenheit: Using the same Celsius to Fahrenheit formula: [
F = \left( \frac{9}{5} \times 20 \right) + 32 = 36 + 32 = 68
] 20°C = 68°F - 39.4 degrees Fahrenheit to Celsius: Using the Fahrenheit to Celsius formula: [
C = \frac{5}{9} \times (39.4 – 32) = \frac{5}{9} \times 7.4 = 4.11
] 39.4°F = 4.11°C - -20 degrees Celsius to Fahrenheit: Using the Celsius to Fahrenheit formula: [
F = \left( \frac{9}{5} \times -20 \right) + 32 = -36 + 32 = -4
] -20°C = -4°F - -40 degrees Fahrenheit to Celsius: Using the Fahrenheit to Celsius formula: [
C = \frac{5}{9} \times (-40 – 32) = \frac{5}{9} \times -72 = -40
] -40°F = -40°C
Explanation:
The Celsius and Fahrenheit scales are two temperature measurement systems commonly used worldwide. Celsius, also known as Centigrade, is based on the freezing and boiling points of water at 0°C and 100°C, respectively. Fahrenheit, on the other hand, has the freezing point of water at 32°F and the boiling point at 212°F.
To convert between Celsius and Fahrenheit, we use the formulas above. The key is to apply a multiplication factor and adjust for the offset between the scales: Celsius has a zero point that is 32 degrees lower than Fahrenheit. The factor of 9/5 (or 1.8) scales the degree increment between the two systems.
These conversions are essential in various fields, including science, weather forecasting, and engineering, as they provide a standardized way to express temperature across different regions and systems.