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 the conversion formula

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

Step2: Substitute the given degree value

Substitute - 180° into the formula: $-180\times\frac{\pi}{180}$.

Step3: Simplify the expression

Cancel out the 180 in the numerator and denominator: $-1\times\pi=-\pi$.

Answer:

$-\pi$