Question

find the radian measure of the angle with the given degree measure. round your answer to three decimal places. -150° rad resources read it submit answer details my notes ask y

Explanation:

Step1: Recall conversion formula

To convert degrees to radians, use the formula $\text{Radians}=\text{Degrees}\times\frac{\pi}{180}$.

Step2: Substitute the given degree - value

Given $\text{Degrees}=- 150$, then $\text{Radians}=-150\times\frac{\pi}{180}$.

Step3: Simplify the expression

$-150\times\frac{\pi}{180}=-\frac{150\pi}{180}=-\frac{5\pi}{6}\approx - 2.618$ (rounded to three decimal places).

Answer:

$-2.618$