Question

From degrees to radians

Find the radian measure of the angle$-{30}^{\circ }$. Round your answer to three decimal places.

Short answer

Angle in radians is$\mathbf{-}\mathbf{0}\mathbf{.523}$

Step-by-step solution

Step 1. Given information.

An angle of$-{30}^{\circ }$ and we have to convert it into radians

Step 2. Concept used.

By multiplying an angle by $\frac{\pi }{180}$, we may convert it to radians.

The answer will be in radians.

Step 3. Calculation.

Here is the calculation-

$$\begin{gathered} 1^{\circ }=\frac{\pi }{180} \\ -{30}^{\circ }=\frac{\pi }{180}\times (-30)\Rightarrow -0.523 \end{gathered}$$