Question

convert the angle in degrees to radians. - 180° - 180° = □ radian(s) (simplify your answer. type an exact answer in terms of π. use integers or fractions for any numbers in the expression )

Explanation:

Step1: Recall conversion formula

We know that to convert degrees to radians, we use the formula $\text{radians}=\frac{\pi}{180}\times\text{degrees}$.

Step2: Substitute the given degree - value

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

Step3: Simplify the expression

$\frac{\pi}{180}\times(-180)=-\pi$.

Answer:

$-\pi$