# How do you convert -60 degrees into radians?

$\setminus \frac{\pi}{3} \setminus \setminus \textrm{r a d}$

#### Explanation:

${60}^{\setminus} \circ$

$= 60 \setminus \times \setminus \frac{\setminus \pi}{180} \setminus \setminus \textrm{r a d}$

$= \setminus \frac{\pi}{3} \setminus \setminus \textrm{r a d}$

Jul 16, 2018

$- \frac{\pi}{3}$

#### Explanation:

$\text{to convert from "color(blue)"degrees to radians}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{\text{radian measure "="degree measure } \times \frac{\pi}{180}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{radian } = - {\cancel{60}}^{1} \times \frac{\pi}{\cancel{180}} ^ 3 = - \frac{\pi}{3}$

Jul 16, 2018

$- \frac{\pi}{3}$

#### Explanation:

Since we are converting from degrees to radians, we can use the conversion factor

$\times \frac{\pi}{180}$

Notice, the unit we want, radians, is in the numerator. We get

$- 60 \cdot \frac{\pi}{180}$

$- \cancel{60} \cdot \frac{\pi}{\cancel{180}} ^ 3$

$\implies - \frac{\pi}{3}$

Hope this helps!