[tex]\frac{2\pi}{3}[/tex] radians is equal to 90°.
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{2\pi}{3}[/tex],
[tex]\left(\frac{2 \pi}{3}\right)\left(\frac{180}{\pi}\right)=(2)(60),[/tex]
[tex](2)(60) = 120.[/tex]
So [tex]\frac{2\pi}{3}[/tex] radians is equal to 120°.
