Question

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

${18}^{\circ }$

Short answer

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

Step-by-step solution

Step 1. Given

Given angle to be converted

${18}^{\circ }$

Step 2. Concept

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

Step 3. Calculation

We know

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