Question

What is $200°\mathrm{F}$ in Celsius?

Answer 1

Step 1: Given information

The given temperature is $200°\mathrm{F}$.

Step 2: Formula used in the conversion of Fahrenheit into Celsius

$\begin{array}{rcl}T\left(°\mathrm{C}\right)& =& \frac{5}{9}\times \left(T\left(°\mathrm{F}\right)-32\right)\end{array}$

• $T\left(°\mathrm{C}\right)$ is the temperature in Celsius.
• $T\left(°\mathrm{F}\right)$ is the temperature in Fahrenheit.

Step 3: Convert $\mathbf{200}\mathbf{°}\mathbf{F}$ into Celsius

• The conversion of $200°\mathrm{F}$ into Celsius is done as follows:

$\begin{array}{rcl}T\left(°\mathrm{C}\right)& =& \frac{5}{9}\times \left(T\left(°\mathrm{F}\right)-32\right)\\ & =& \frac{5}{9}\times \left(200-32\right)\\ & =& \frac{5}{9}\times 168\\ & =& 93.33\end{array}$

Therefore, $200°\mathrm{F}$ is equal to $93.33°\mathrm{C}$.