What is $(-5pi)/8$ radians in degrees?

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Answer 1 · 2016-03-01T04:10:59

$-112.5˚$

To convert from radians to degrees, multiply the radian measure by $(180˚)/pi$ .

$(-5pi)/8((180˚)/pi)=(-5(45˚))/2=(-225˚)/2=-112.5˚$

Answer 2 · 2016-04-04T03:43:36

$-112.5$

Remember this:
To convert radians into degrees, multiply it by $(180)/pi$

So,

$rarr(-5pi)/8(180/pi)$

Cancel the $pi^'s$

$rarr(-5cancelpi^1)/8(180/cancelpi^1)$

$rarr(-5)/8(180)$

Cancel $8$ with $180$

$rarr(-5)/cancel8^2(cancel180^45)$

$rarr(-5(45))/2$

$rarr-(225)/2$

$color(green)(rArr-112.5^circ$

What is (-5pi)/8 (-5pi)/8 radians in degrees?