How do you convert #-98^circ 25'# from degree to radians?

1 Answer
Douglas K.
Dec 6, 2017

There are 60 arc-minutes in a degree, therefore, we divide the 25 arc-minutes by 60 to convert them to a fraction of a degree.

#-98^@ 25' rarr -98.41bar6^@#

NOTE: #bar6# indicates that the 6 infinitely repeats

One complete rotation is #360^@# and one complete rotation is #2pi " rad"#, therefore, to convert from degrees to radians, we multiply by #(2pi" rad")/360^@#:

NOTE: #(2pi" rad")/360^@# can be reduced to #(pi" rad")/180^@#

#-98.41bar6^@(pi" rad")/180^@ ~~ -1.717694872171" rad"#

Related questions
See all questions in Radian Measure
Impact of this question
1368 views around the world
You can reuse this answer
Creative Commons License