# How do you convert 40 degrees into radians?

Jul 9, 2018

$\frac{2}{9} \pi$ rad

#### Explanation:

When we covert degrees into radians, we use the conversion factor

$\frac{\pi}{180}$

Notice that what we want, radians, is in the numerator. We multiply this by $40$ degrees to get

$\frac{40 \pi}{180} = \frac{2 \cancel{40} \pi}{9 \cancel{180}}$

$\implies \frac{2}{9} \pi$ rad

Hope this helps!

Jul 9, 2018

$\frac{2 \pi}{9}$

#### Explanation:

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

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

$\text{radian } = {\cancel{40}}^{2} \times \frac{\pi}{\cancel{180}} ^ 9 = \frac{2 \pi}{9}$