How do you convert -40 degrees into radians?

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Answer 1 · 2018-03-11T02:29:12

The angle measure is $\frac{- 2 π}{9}$ $(-2pi)/9$ radians.

To convert from degrees to radians, multiply the degree measure by $\frac{π radians}{180^{\circ}}$ $(pi" radians")/180^@$ :

$= - 40^{\circ}$ $color(white)=-40^@$

$= - 40^{\circ} \cdot \frac{π radians}{180^{\circ}}$ $=-40^@color(blue)(*(pi" radians")/180^@)$

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

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

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

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