Answer:
[tex]210^\circ = \frac{7}{6}\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 210^\circ[/tex]
Required
Convert to radians
To convert to radians, we make use of:
[tex]Radians = \theta * \frac{\pi}{180^\circ}[/tex]
Substitute: [tex]\theta = 210^\circ[/tex]
[tex]Radians = 210^\circ* \frac{\pi}{180^\circ}[/tex]
[tex]Radians = \frac{210^\circ* \pi}{180^\circ}[/tex]
Simplify fraction
[tex]Radians = \frac{7\pi}{6}[/tex]
[tex]Radians = \frac{7}{6}\pi[/tex]
Hence:
[tex]210^\circ = \frac{7}{6}\pi[/tex]
