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 fra

Explanation:

Step1: Recall the 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 \(- 180^{\circ}\), substitute into the formula: \(-180\times\frac{\pi}{180}\).

Step3: Simplify the expression

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

Answer:

\(-\pi\)