Question

From degrees to radians

Find the radian measure of the angle ${100}^{\circ }$. Round your answer to three decimal places.

Short answer

Angle in radians is$\mathbf{1}\mathbf{.744}$

Step-by-step solution

Step 1. Given information.

An angle of${100}^{\circ }$ and we have to convert it into radians

Step 2. Concept used.

We can 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-

$$\begin{gathered} 1^{\circ }=\frac{\pi }{180} \\ {100}^{\circ }=\frac{\pi }{180}\times 100\Rightarrow 1.744 \end{gathered}$$