Question

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

Answer 1

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"`