What is $(-5pi)/12$ radians in degrees?

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Answer 1 · 2016-01-27T23:29:06

Convert by multiplying the expression by $180/pi$

$(5pi)/12 xx (180/pi)$

We can simplify the fractions before multiplying: the $pi$ 's eliminate themselves and the 180 is divided by 12, which gives 15.

= 15 $xx$ 5

= 75 degrees

The rule is the opposite when converting from degrees to radians: you multiply by $pi/180$ .

Practice exercises:

a) $(5pi)/4$ radians

b) $(2pi)/7$ radians

a) 30 degrees

b) 160 degrees

What is (-5pi)/12 (-5pi)/12 radians in degrees?