# How do you convert 35 degrees into radians?

Dec 16, 2016

Below.

#### Explanation:

In short, from radian to degrees, multiply by ${180}^{\circ}$ over $\pi$, ${180}^{\circ} / \pi$.

And for the other way, multiply by $\frac{\pi}{180} ^ \circ$. The one you want in the end goes on top

• $\text{degrees" = 180^@ \ "on top}$
• $\text{radians" = pi \ "on top}$

So

${35}^{\circ} \times \frac{\pi}{180} ^ \circ = \left(0.19 \overline{4} \times \pi\right) \setminus \text{rad" ~~ "0.61 rad } \to$ two sig figs

Jun 14, 2018

$\frac{7 \pi}{36}$

#### Explanation:

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

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

$\text{radians "=35xxpi/180=(7pi)/36larrcolor(red)"exact value}$