How do you convert -40 degrees into radians?

1 Answer
Mar 11, 2018

The angle measure is #(-2pi)/9# radians.

Explanation:

To convert from degrees to radians, multiply the degree measure by #(pi" radians")/180^@#:

#color(white)=-40^@#

#=-40^@color(blue)(*(pi" radians")/180^@)#

#=(-40^color(red)cancelcolor(black)@*pi" radians")/180^color(red)cancelcolor(black)@#

#=(color(red)cancelcolor(black)(-40)^-2*pi" radians")/color(red)cancelcolor(black)180^9#

#=(-2pi" radians")/9#

#=(-2pi)/9 " radians"#