Convert 63°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
5
9
9
F=-C+32
5
c=E(F-32) +
The Correct Answer and Explanation is:
To convert degrees Fahrenheit (°F) to degrees Celsius (°C), we can use the formula:
[
C = \frac{5}{9}(F – 32)
]
Where (C) is the temperature in Celsius and (F) is the temperature in Fahrenheit. In this case, we want to convert 63°F to Celsius.
Step-by-Step Calculation
- Substitute the value of (F):
[
C = \frac{5}{9}(63 – 32)
] - Calculate (63 – 32):
[
63 – 32 = 31
] - Substitute this value back into the equation:
[
C = \frac{5}{9} \times 31
] - Calculate (\frac{5}{9} \times 31):
[
C = \frac{155}{9} \approx 17.2222
] - Round to the nearest tenth:
[
C \approx 17.2
]
Final Answer
Thus, 63°F is approximately 17.2°C.
Explanation of the Conversion Process
The conversion from Fahrenheit to Celsius involves understanding the relationship between the two temperature scales. The Fahrenheit scale is based on a set point defined by the freezing point of water (32°F) and the boiling point (212°F). In contrast, the Celsius scale defines its freezing point at 0°C and boiling point at 100°C.
To convert Fahrenheit to Celsius, we first subtract 32 from the Fahrenheit temperature. This step adjusts the Fahrenheit scale to align with the Celsius scale’s starting point (0°C). The next step involves multiplying the result by (\frac{5}{9}). This fraction accounts for the difference in the degree sizes between the two scales: each degree Celsius represents a larger change than each degree Fahrenheit, hence the ratio.
By converting 63°F using this method, we obtained a Celsius equivalent of 17.2°C, which tells us that the temperature is slightly above the typical range for cool or mild conditions. Understanding this conversion is essential in various fields, including cooking, science, and international communication, where temperature readings in different scales are common.