# How do you convert -105 degrees to radians?

Dec 16, 2015

$\textcolor{w h i t e}{\times} \frac{7 \pi}{12} \textcolor{w h i t e}{x} \text{radian}$

#### Explanation:

$\textcolor{w h i t e}{\times} 1 \textcolor{w h i t e}{x} \text{degree"=pi/180color(white)(x) "radian}$

$\implies - 105 \textcolor{w h i t e}{x} \text{degrees"=(-105pi)/180color(white)(x) "radian}$
$\textcolor{w h i t e}{\times \times \times \times \times} = \frac{- 105 \pi}{180} \textcolor{w h i t e}{x} \text{radian}$
$\textcolor{w h i t e}{\times \times \times \times \times} = \frac{- 105 \pi \textcolor{red}{\times 15}}{180 \textcolor{red}{\times 15}} \textcolor{w h i t e}{x} \text{radian}$
(Multiply both the numerator and denominator by $\textcolor{red}{15}$)
$\textcolor{w h i t e}{\times \times \times \times \times} = \frac{7 \pi}{12} \textcolor{w h i t e}{x} \text{radian}$