Question

How do you convert 35 degrees into radians?

Answer 1

Below.

Explanation:

In short, from radian to degrees, multiply by `180^@` over `pi`, `180^@/pi`.

And for the other way, multiply by `pi/180^@`. The one you want in the end goes on top

• `"degrees" = 180^@ \ "on top"`
• `"radians" = pi \ "on top"`

So

`35^@ xx pi/180^@ = (0.19bar(4) xx pi) \ "rad" ~~ "0.61 rad " ->` two sig figs

Answer 2

`(7pi)/36`

Explanation:

`"to convert from "color(blue)"degrees to radians"`

`color(red)(bar(ul(|color(white)(2/2)color(black)("radian measure "="degree measure "xxpi/180)color(white)(2/2)|)))`

`"radians "=35xxpi/180=(7pi)/36larrcolor(red)"exact value"`