Question

convert the angle in degrees to radians.
-270°
-270° = radian(s)
(simplify your answer. type an exact answer in terms of π. use integers or fractions

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

Substitute \(- 270^{\circ}\) into the formula: \(-270\times\frac{\pi}{180}\).

Step3: Simplify the expression

Simplify \(-270\times\frac{\pi}{180}\). First, simplify the fraction \(\frac{-270}{180}\). Divide numerator and denominator by \(90\), we get \(\frac{-270\div90}{180\div90}=\frac{- 3}{2}\). So \(-270\times\frac{\pi}{180}=-\frac{3\pi}{2}\).

Answer:

\(-\frac{3\pi}{2}\)