Question

How do you convert degrees, minutes, and seconds into radians?

Answer 1

First convert your 'd.m.s' measure to decimal degrees (dd), and then convert that to radians.
`rad = pi xx (d + m/60 + s/3600)/180`

Explanation:

One degree is equal 0.01745329252 radians. 1° = π/180°
One radian is equal 57.295779513 degrees. 1 rad = 180°/π
One degree is equal to 60 minutes and equal to 3600 seconds:
1° = 60' = 3600"
The decimal degrees dd is equal to:
dd = d + m/60 + s/3600

So, first convert your 'd.m.s' measure to decimal degrees (dd), and then convert that to radians.

https://www.rapidtables.com/convert/number/how-radians-to-degrees.html
https://www.rapidtables.com/convert/number/degrees-minutes-seconds-to-degrees.html