Question

What is `(-3pi)/4` radians in degrees?

Answer 1

`color(maroon)(= -135^@ = 225 ^@`

Explanation:

`-(3pi) / 4`

`=> ((((-3pi)/4) * 180) / pi)^@`

`=>- ((3 cancel(pi) * cancel(180)^color(red)(45)) / (cancel(4) * cancel(pi)))`

`=> -135 = 360 - 135 = 225^@`

Answer 2

`-135^@`

Explanation:

`"to convert from radians to degrees"`

`color(red)(bar(ul(|color(white)(2/2)color(black)("degree measure"="radian measure"xx180/pi)color(white)(2/2)|)))`

`"degrees "=(-3cancel(pi))/cancel(4)^1xxcancel(180)^45/cancel(pi)=-3xx45=-135^@`