Question

From degrees to radians

Find the radian measure of the angle ${36000}^{\circ }$. Round your answer to three decimal places.

Short answer

Angle in radians is$\mathbf{62}\mathbf{.832}$

Step-by-step solution

Step 1. Given information.

An angle of${36000}^{°}$ and we have to convert it in radians

Step 2. Concept used.

To convert an angle in radians then multiply the given angle with $\frac{\pi }{180}$.

The answer will be in radians.

Step 3. Calculation.

Here is the calculation-

$\begin{array}{l}{1}^{\circ }=\frac{\pi }{180}\\ {36000}^{\circ }=\frac{\pi }{180}\times 36000\Rightarrow 62.832\end{array}$