Question

question
convert the following angle from degrees to radians. express your answer in simplest form.
540°

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 \(540^{\circ}\) into the formula: \(540\times\frac{\pi}{180}\)

Step3: Simplify the expression

\(540\div180 = 3\), so \(540\times\frac{\pi}{180}=3\pi\)

Answer:

\(3\pi\) radians