Question #66b69

2 Answers
Aug 31, 2017

You need to use that #90^o=pi/2#

Explanation:

If we use the above, we know that #30^o = 90^o/3=(pi/2)/3=pi/6#

Aug 31, 2017

#0.52 rad#

Explanation:

Here are the steps!

By using this formula;

Converting from Radians to Degrees

#"Radians" = pi/180^0 xx "Degrees"#

or

Converting from Degrees to Radians

#"Degrees" = 180^0/pi xx "Radians"#

So from your question..

Expressing #30^0# in Radians should be using this formula (Converting from Degrees to Radians)

#rArr 30^0# in Radians #-> "Degrees" = 180^0/pi xx "Radians"#

#color(white)(xxxxxxxiiixxxx)-> 30^0 = 180^0/(22/7) xx "Radians"#

#color(white)(xxxxxxxiiixxxx)-> 660/7 = 180/1 "Radians"#

#color(white)(xxxxxxxiiixxxx)-> 180 xx 7 color(white)(x)"Radians" = 660#

#color(white)(xxxxxxxiiixxxx)-> 1260color(white)(x)"Radians" = 660#

#color(white)(xxxxxxxiiixxxx)-> "Radians" = 660/1260#

#color(white)(xxxxxxxiiixxxx)-> "Radians" = 0.52 rad#