To convert a given temperature from Fahrenheit to Celsius, we can use the following conversion formula:
[tex]\[ \text{Celsius} = \frac{5}{9} \times (\text{Fahrenheit} - 32) \][/tex]
Let's apply this formula step-by-step to convert [tex]\(200^\circ F\)[/tex] to Celsius:
1. Start with the given temperature in Fahrenheit:
[tex]\[ \text{Fahrenheit} = 200^\circ F \][/tex]
2. Subtract 32 from the temperature in Fahrenheit:
[tex]\[ 200 - 32 = 168 \][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 168 \approx 93.3333^\circ C \][/tex]
So, a temperature of [tex]\(200^\circ F\)[/tex] is equivalent to approximately [tex]\(93.3^\circ C\)[/tex].
Therefore, the correct answer is:
B. [tex]\(93.3^\circ C\)[/tex].
