A temperature of [tex]\(200^{\circ} F\)[/tex] is equivalent to approximately:

A. [tex]\(37.8^{\circ} C\)[/tex]

B. [tex]\(93.3^{\circ} C\)[/tex]

C. [tex]\(232^{\circ} C\)[/tex]

D. [tex]\(840^{\circ} C\)[/tex]



Answer :

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].