Answer:
Option C)
[tex]\theta_{\text{degrees}} = \dfrac{\pi}{4}\times \dfrac{180}{\pi}[/tex]
Step-by-step explanation:
We are given the following angle measure in radians:
[tex]\theta = \dfrac{\pi}{4}[/tex]
We have to convert the radian measure of angle into degree measure.
Formula:
[tex]\theta_{\text{degrees}} = \theta_{\text{radians}}\times \dfrac{180}{\pi}[/tex]
Thus, the conversion takes place as:
[tex]\theta_{\text{degrees}} = \dfrac{\pi}{4}\times \dfrac{180}{\pi} = 45^\circ[/tex]
Thus, the correct option is
Option C)
[tex]\theta_{\text{degrees}} = \dfrac{\pi}{4}\times \dfrac{180}{\pi}[/tex]
