Question

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

360°

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\)

Step2: Substitute the given degree measure

We are given \(360^\circ\), so substitute into the formula: \(360 \times \frac{\pi}{180}\)

Step3: Simplify the expression

Simplify \(360 \times \frac{\pi}{180}\). The 360 and 180 can be simplified by dividing 360 by 180, which gives 2. So we have \(2\pi\)

Answer:

\(2\pi\)