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

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.

$- {98}^{\circ} 25 ' \rightarrow - 98.41 {\overline{6}}^{\circ}$

NOTE: $\overline{6}$ indicates that the 6 infinitely repeats

One complete rotation is ${360}^{\circ}$ and one complete rotation is $2 \pi \text{ rad}$, therefore, to convert from degrees to radians, we multiply by $\frac{2 \pi \text{ rad}}{360} ^ \circ$:

NOTE: $\frac{2 \pi \text{ rad}}{360} ^ \circ$ can be reduced to $\frac{\pi \text{ rad}}{180} ^ \circ$

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