Question

PLSSS Help!! I don't know

Answer 1

Given:

The given angle is $\theta=\frac{8 \pi}{9}$ radians.

We need to convert the given radians into degrees.

Radians to degrees:

The radian can be converted into degree by multiplying the given radian by $\frac{180}{\pi}$

Thus, to convert the given radian $\theta=\frac{8 \pi}{9}$ into degree, we shall multiply the given radian with $\frac{180}{\pi}$

Hence, we have;

$\frac{8 \pi}{9} \times \frac{180}{\pi}$

Simplifying, we get;

$160^{\circ}$

Thus, the measure of the given radian is 160° degrees.