Degree Converter
Convert an angle from radians to degrees with DMS (degrees-minutes-seconds) breakdown.
About Degree Converter
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
Worked example
With the default values below, Degree Converter returns Degrees of 179.99999979. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Angle in radians
- 3.141593
Results
- Degrees
- 179.99999979 °
- DMS (degrees-minutes-seconds)
- 179° 59′ 59.9993″
Step by step
- 1Multiply by 180/π= 179.9999997943°
- 2DMS form= 179° 59′ 59.9993″
Assumptions and limits
- The result is derived only from the single input listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
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.