[tex]\frac{4 \pi}{6}[/tex] radians is equal to 120°.
Step-by-step explanation:
Step 1:
If an angle is represented in radians, it will be of the form [tex]\frac{\pi}{x}[/tex] radians.
If an angle is represented in degrees, it will be of the form x°.
To convert radians to degrees, we multiply the radian measure by [tex]\frac{180}{\pi} .[/tex]
For the conversion of radians to degrees,
the radians in degrees = (given value in radians)([tex]\frac{180}{\pi}[/tex]).
Step 2:
To convert [tex]\frac{4 \pi}{6}[/tex],
[tex](\frac{4 \pi}{6})(\frac{180}{\pi} ) = (4)(30),[/tex]
[tex](4)(30) = 120.[/tex]
So [tex]\frac{4 \pi}{6}[/tex] radians is equal to 120°.
