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

May 4, 2018

First convert your 'd.m.s' measure to decimal degrees (dd), and then convert that to radians.
$r a d = \pi \times \frac{d + \frac{m}{60} + \frac{s}{3600}}{180}$

#### Explanation:

One degree is equal 0.01745329252 radians. 1° = π/180°
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.