Convert 38.2 C to Fahrenheit.
The Correct Answer and Explanation is :
To convert degrees Celsius (°C) to degrees Fahrenheit (°F), you can use the following formula:
[
°F = (°C \times \frac{9}{5}) + 32
]
For the specific case of converting 38.2°C to Fahrenheit:
- Multiply the Celsius temperature by 9/5:
[
38.2 \times \frac{9}{5} = 38.2 \times 1.8 = 68.76
] - Add 32 to the result:
[
68.76 + 32 = 100.76
]
Thus, 38.2°C is equivalent to approximately 100.76°F.
Explanation
The conversion from Celsius to Fahrenheit is a common task in various fields, including science, meteorology, and cooking, particularly in regions where Fahrenheit is the standard temperature scale. The formula itself is derived from the linear relationship between the two temperature scales.
Celsius is based on the metric system, where 0°C is defined as the freezing point of water and 100°C as its boiling point at sea level. In contrast, the Fahrenheit scale is less straightforward, with 32°F marking the freezing point of water and 212°F the boiling point.
The formula involves a multiplication by ( \frac{9}{5} ) (or 1.8) because there are 180 Fahrenheit degrees between the freezing and boiling points of water compared to 100 Celsius degrees. The addition of 32 accounts for the different starting points of the two scales.
This conversion is particularly relevant in healthcare, as body temperature is often measured in Celsius in many parts of the world. For instance, a body temperature of 38.2°C may indicate a fever, translating to a significant 100.76°F when assessed using the Fahrenheit scale. Accurate temperature conversion is crucial in diagnosing and treating medical conditions, ensuring proper communication between healthcare professionals and patients, especially in international contexts where different temperature scales may be used.