Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

convert each angle in degrees to radians. Express your answer as a multiple of $\mathrm{\pi }$.

${18}^{\circ }$

Step-by-Step Solution

Answer

Thus, ${18}^{\circ }=\frac{\mathrm{\pi }}{10}radian$.

Step 1. Given

Given angle to be converted

${18}^{\circ }$

Step 2. Concept

As $1 degree = \frac{\mathrm{\pi }}{180}radian$

Step 3. Calculation

We know

$$\begin{gathered} 1 degree = \frac{\mathrm{\pi }}{180}radian \\ thus \\ {18}^{\circ }=18\left(\frac{\mathrm{\pi }}{180}\right) \\ =\frac{\mathrm{\pi }}{10} \end{gathered}$$