Degree Converter
Convert an angle from radians to degrees with DMS (degrees-minutes-seconds) breakdown.
Inputs
Degrees
179.99999979°
DMS (degrees-minutes-seconds)
179° 59′ 59.9993″
Step by step
Multiply by 180/π
3.14159265 × 180/π
= 179.9999997943°
DMS form
= 179° 59′ 59.9993″
How it works
To convert radians to degrees, multiply by 180/π. The DMS form breaks the decimal degrees into whole degrees, minutes (1/60°), and seconds (1/3600°).
Formula
Radian to Degree
degrees = radians × 180 / π
- rad
- Angle in radians
- deg
- Angle in degrees
Frequently Asked Questions
What is 1 radian in degrees?
1 radian = 180/π ≈ 57.2958°.
What does DMS mean?
Degrees-Minutes-Seconds. Each degree has 60 minutes and each minute has 60 seconds, similar to time. It is the traditional format in surveying and navigation.