Question

find the radian measure of the angle with the given degree measure. round your answer to three decimal places. -31° rad 5. -/1 points 0/12 submissions used find the degree measure of the angle with the given radian measure. $\frac{11pi}{6}$

Explanation:

Step1: Recall conversion formula

The formula to convert degrees to radians is $\text{radians}=\text{degrees}\times\frac{\pi}{180}$.

Step2: Substitute the given degree value

For $- 31^{\circ}$, we have $\text{radians}=-31\times\frac{\pi}{180}$.

Step3: Calculate the value

$-31\times\frac{\pi}{180}\approx - 0.541$ (rounded to three decimal places).

Step4: Recall conversion formula for radians to degrees

The formula to convert radians to degrees is $\text{degrees}=\text{radians}\times\frac{180}{\pi}$.

Step5: Substitute the given radian value

For $\frac{11\pi}{6}$ radians, we have $\text{degrees}=\frac{11\pi}{6}\times\frac{180}{\pi}$.

Step6: Simplify the expression

$\frac{11\pi}{6}\times\frac{180}{\pi}=11\times30 = 330^{\circ}$.

Answer:

-0.541 rad
330°