A measured temperature on Fahrenheit scale is 200F. What will this reading be on the Celsius Scale?

1. Break Down the Problem

To convert a temperature from Fahrenheit (F) to Celsius (C), we will use the conversion formula: $C = \frac{5}{9} (F - 32)$

2. Relevant Concepts

We will utilize the formula given above to convert the temperature from Fahrenheit to Celsius.

3. Analysis and Detail

Using the conversion formula:

1. Substitute $F = 200$: $C = \frac{5}{9} (200 - 32)$
2. Perform the subtraction: $C = \frac{5}{9} (168)$
3. Multiply by $\frac{5}{9}$: $C = \frac{5 \times 168}{9}$
4. Perform the multiplication and division: $C = \frac{840}{9} \approx 93.33$

4. Verify and Summarize

To verify, we can check the formula and calculation. The temperature in Celsius is approximately $93.33°C$, which is consistent when using the formula.

Final Answer

The temperature of 200°F corresponds to approximately $93.33°C$ on the Celsius scale.