Convert 77°F to degrees Celsius.
The Correct Answer and Explanation is :
To convert degrees Fahrenheit (°F) to degrees Celsius (°C), you can use the formula:
[
°C = \frac{(°F – 32) \times 5}{9}
]
Step-by-Step Conversion:
- Start with the Fahrenheit temperature: 77°F.
- Subtract 32 from the Fahrenheit temperature:
[
77 – 32 = 45
] - Multiply the result by 5:
[
45 \times 5 = 225
] - Divide the result by 9:
[
\frac{225}{9} = 25
]
So, 77°F is equal to 25°C.
Explanation:
Understanding the conversion between Fahrenheit and Celsius is crucial, particularly in scientific and medical contexts. The Fahrenheit scale, primarily used in the United States, has its zero point set at the freezing point of a saltwater solution, which may seem arbitrary. In contrast, the Celsius scale, used by most other countries and in scientific contexts, is based on the freezing (0°C) and boiling points (100°C) of water under standard atmospheric conditions.
The conversion formula is derived from the linear relationship between the two scales. The formula accounts for the offset (32 degrees) and the different degrees of scale (5/9) between the two. This means that while both scales measure temperature, they do so with different baselines and increments.
Knowing how to convert temperatures is particularly important in various fields, such as healthcare, where body temperature is often measured in Fahrenheit in some countries, while medical guidelines might reference Celsius. For instance, a normal human body temperature is approximately 98.6°F, which converts to about 37°C. Thus, understanding and accurately converting these temperatures can significantly impact medical assessments and treatments.