What is the conversion of 39 degrees c to f ?
The Correct answer and Explanation is:
To convert degrees Celsius (°C) to degrees Fahrenheit (°F), we use the following formula:
[
°F = (°C \times \frac{9}{5}) + 32
]
Now, applying this formula to convert 39 degrees Celsius to Fahrenheit:
- Multiply the Celsius temperature by (\frac{9}{5}):
[
39 \times \frac{9}{5} = 39 \times 1.8 = 70.2
] - Add 32 to the result:
[
70.2 + 32 = 102.2
]
Thus, 39 degrees Celsius is equivalent to 102.2 degrees Fahrenheit.
Explanation of the Conversion Process
The Celsius and Fahrenheit scales measure temperature but use different reference points and increments. The Celsius scale is based on the freezing and boiling points of water, where 0°C is the freezing point and 100°C is the boiling point at standard atmospheric pressure. In contrast, the Fahrenheit scale is based on a different set of reference points, with 32°F as the freezing point of water and 212°F as the boiling point.
The formula for conversion stems from the relationship between the two scales. The (\frac{9}{5}) factor in the formula signifies that a change of 1°C corresponds to a change of 1.8°F. This relationship comes from the ranges defined by the freezing and boiling points of water: 100°C (the range from freezing to boiling) corresponds to 180°F, giving the conversion factor of (\frac{180}{100} = \frac{9}{5}).
Adding 32 accounts for the difference in the starting points of the two scales. Since the Fahrenheit scale starts at 32°F for freezing, this value is added to ensure accurate conversion.
In everyday contexts, this conversion is essential for fields such as meteorology, cooking, and scientific research, especially in regions where different temperature scales are commonly used. Knowing how to convert between these scales allows for effective communication and understanding of temperature-related data across different systems.