Question

From degrees to radians

Find the radian measure of the angle ${1000}^{\circ }$. Round your answer to three decimal places.

Short answer

Angle in radians is 17.444

Step-by-step solution

Step 1. Given information.

An angle of${1000}^{\circ }$ and we have to convert it into radians

Step 2. Concept used.

We multiply it by$\frac{\pi }{180}$ to get the angle in radians.

The answer will be in radians.

Step 3. Calculation.

Here is the calculation-

$$\begin{gathered} 1^{\circ }=\frac{\pi }{180} \\ {1000}^{\circ }=\frac{\pi }{180}\times 1000\Rightarrow 17.444 \end{gathered}$$