Question

From degrees to radians

Find the radian measure of the angle ${200}^{\circ }$. Round your answer to three decimal places.

Short answer

Angle in radians is$\mathbf{3}\mathbf{.488}$

Step-by-step solution

Step 1. Given information.

An angle of${200}^{°}$ and we have to convert it into radians

Step 2. Concept used.

To get the angle in radian we multiply it by $\frac{\pi }{180}$.

The answer will be in radians.

Step 3. Calculation.

Here is the calculation-

$\begin{array}{l}{1}^{\circ }=\frac{\pi }{180}\\ {200}^{\circ }=\frac{\pi }{180}\times 200\Rightarrow 3.488\end{array}$