Convert 86 degrees Fahrenheit to Celsius using the following formula: (F-32) * =C a) 18 b) 34 c) 30 d) 44
The Correct Answer and Explanation is :
To convert 86°F to Celsius using the formula:
[
C = (F – 32) \times \frac{5}{9}
]
Substituting 86 for F:
[
C = (86 – 32) \times \frac{5}{9} = 54 \times \frac{5}{9} = 30°C
]
Thus, the correct answer is c) 30°C.
Explanation:
The formula for converting Fahrenheit to Celsius is designed to adjust for the fact that these two temperature scales are offset by a different zero point (32°F for freezing point vs. 0°C) and a different size for each degree (Fahrenheit has smaller degree intervals than Celsius). The step-by-step process involves:
- Subtracting 32 from the Fahrenheit temperature to adjust for the freezing point offset.
- Multiplying the result by 5/9 to account for the difference in scale size (there are 1.8 Fahrenheit degrees for each Celsius degree).
For example, in this case:
- ( 86 – 32 = 54 )
- ( 54 \times \frac{5}{9} = 30 )
So, 86°F is equivalent to 30°C. This is useful in understanding temperature readings when switching between the two common temperature scales.