How do you convert 210 degrees to radians?

Dec 16, 2015

Answer:

$\textcolor{w h i t e}{\times} \frac{7 \pi}{6} \textcolor{w h i t e}{x} \text{radian}$

Explanation:

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

$\implies 210 \textcolor{w h i t e}{x} \text{degrees"=(210pi)/180color(white)(x) "radian}$
$\textcolor{w h i t e}{\times \times \times \times \times} = \frac{210 \pi \textcolor{red}{\times 30}}{180 \textcolor{red}{\times 30}} \textcolor{w h i t e}{x} \text{radian}$
(Multiply both the numerator and denominator by $\textcolor{red}{30}$)
$\textcolor{w h i t e}{\times \times \times \times \times} = \frac{7 \pi}{6} \textcolor{w h i t e}{x} \text{radian}$