Question

From degrees to radians

Find the radian measure of the angle $-{45}^{\circ }$. Round your answer to three decimal places.

Short answer

Angle in radians is$\mathbf{-}\mathbf{0}\mathbf{.785}$

Step-by-step solution

Step 1. Given information.

An angle of$-{45}^{\circ }$ and we have to convert it in radians.

Step 2. Concept used.

We already know how to convert an angle to radians by multiplying it by $\frac{\pi }{180}$.

The answer will be in radians.

Step 3. Calculation.

Here is the calculation-

$$\begin{gathered} 1^{\circ }=\frac{\pi }{180} \\ -{45}^{\circ }=\frac{\pi }{180}\times (-45)\Rightarrow -0.785 \end{gathered}$$