Question

From degrees to radians

Find the radian measure of the angle $-{150}^{\circ }$. Round your answer to three decimal places.

Short answer

Angle in radians is$\mathbf{-}\mathbf{2}\mathbf{.616}$

Step-by-step solution

Step 1. Given information.

An angle of$-{150}^{\circ }$ and we have to convert it into radians

Step 2. Concept used.

To translate a degree into radians, multiply angle in degree by $\frac{\pi }{180}$.

The answer will be in radians.

Step 3. Calculation.

Here is the calculation-

$$\begin{gathered} 1^{\circ }=\frac{\pi }{180} \\ -{150}^{\circ }=\frac{\pi }{180}\times (-150)\Rightarrow -2.616 \end{gathered}$$