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im having trouble with this question express all radian measures in terms of pi express...

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onaisa | Student, Undergraduate | eNotes Newbie

Posted May 17, 2013 at 12:41 AM via web

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im having trouble with this question

express all radian measures in terms of pi

express -5pi/6 radians in degrees?

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted May 17, 2013 at 2:08 AM (Answer #1)

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There are `2pi` radians in `360^@` . (Imagine a circle of radius 1. The circumference is `pi*d=2pi` -- but radian measure is the distance around the circle.) Then there are `pi` radians in `180^@` .

`pi"radians"=180^@` ``Divide both sides by `pi` :

1 rad = `180^@/pi`   Multiply both sides by `(-5pi)/6` :

`(-5pi)/6"rad"=(-5pi)/6*180^@/pi`

`=-150^@`

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