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, we use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180^\circ} \)

Step2: Substitute the given degree value

We have \( 540^\circ \), so substitute into the formula: \( 540^\circ \times \frac{\pi}{180^\circ} \)

Step3: Simplify the expression

Simplify \( \frac{540}{180} \), which equals 3. So the result is \( 3\pi \)

Answer:

\( 3\pi \)