Question

How do you convert 40 degrees into radians?

Answer 1

`2/9pi` rad

Explanation:

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

`pi/180`

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

`(40pi)/180=(2cancel(40)pi)/(9cancel(180))`

`=>2/9pi` rad

Hope this helps!

Answer 2

`(2pi)/9`

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)|)))`

`"radian "=cancel(40)^2xxpi/cancel(180)^9=(2pi)/9`