Question

convert the angle in degrees to radians. round to two decimal places. - 159° - 159° = radians (round to two decimal places as needed.)

Explanation:

Step1: Recall conversion formula

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

Step2: Substitute the given degree value

Substitute $degrees=- 159$ into the formula: $radians=-159\times\frac{\pi}{180}$.

Step3: Calculate the result

$-159\times\frac{\pi}{180}=-\frac{159\pi}{180}=-\frac{53\pi}{60}\approx - 2.77$.

Answer:

$-2.77$