Question

Trigonometry

Answer 1

$\frac{4 \pi}{6}$ radians is equal to 120°.

Step-by-step explanation:

Step 1:

If an angle is represented in radians, it will be of the form $\frac{\pi}{x}$ 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 $\frac{180}{\pi} .$

For the conversion of radians to degrees,

the radians in degrees = (given value in radians)($\frac{180}{\pi}$).

Step 2:

To convert $\frac{4 \pi}{6}$,

$(\frac{4 \pi}{6})(\frac{180}{\pi} ) = (4)(30),$

$(4)(30) = 120.$

So $\frac{4 \pi}{6}$ radians is equal to 120°.