Question

Convert the following angle from degrees to radian express your answer in simplest form.360 degrees

Answer 1

Answer:

360° = 2π rad

Explanations:

To convert an angle θ from degrees to radian, use the formula below:

`\theta_(rad)=\theta_(deg)*(\pi)/(180)`

Now, we want to convert 360° to radian

`\begin{gathered} \theta_(deg)=\text{ 360}\degree \\ \theta_(rad)=\text{ 360 }*(\pi)/(180) \\ \theta_(rad)=(360\pi)/(180) \\ \theta_(rad)=2\pi \end{gathered}`

Therefore, 360° = 2π rad