What is the conversion of 63 f to c?
The Correct Answer and Explanation is :
To convert 63°F (degrees Fahrenheit) to Celsius (°C), we use the following formula:
[
C = \frac{5}{9} \times (F – 32)
]
Where:
- ( C ) is the temperature in Celsius.
- ( F ) is the temperature in Fahrenheit.
Step-by-step conversion:
- Start with the temperature in Fahrenheit: ( F = 63 \, \text{°F} ).
- Subtract 32 from the Fahrenheit temperature:
[
63 – 32 = 31
] - Multiply the result by 5/9 to convert it to Celsius:
[
C = \frac{5}{9} \times 31
]
[
C = \frac{155}{9} = 17.22 \, \text{°C}
]
So, 63°F is approximately equal to 17.22°C.
Explanation of the Conversion Process:
The relationship between Fahrenheit and Celsius scales is linear, but the scales are offset from each other. The freezing point of water is 32°F (0°C), and the boiling point of water is 212°F (100°C). However, the Fahrenheit scale uses a smaller degree increment than the Celsius scale, meaning that one degree Fahrenheit represents a smaller change in temperature than one degree Celsius.
The formula ( C = \frac{5}{9} \times (F – 32) ) accounts for two adjustments:
- Subtracting 32: This step adjusts for the offset between the two scales, aligning the freezing point of water to zero.
- Multiplying by 5/9: This factor adjusts for the difference in the size of the degree increments between the two scales.
Understanding the formula allows you to convert temperatures between Fahrenheit and Celsius accurately. This conversion is especially useful in scientific and everyday contexts where temperatures are given in different units, such as weather forecasts, cooking, and laboratory settings.