Type a value into any field and instantly see it converted across degrees, radians and gradians, plus the equivalent degrees-minutes-seconds notation.
Runs entirely in your browser — nothing you enter is uploaded or stored.
Degrees, radians and gradians update together, with DMS shown automatically.
Uses the exact relationships 360° = 2π rad = 400 gon.
No accounts, no uploads — every calculation stays on your device.
Enter an angle in whichever unit you already have, and the rest fill in automatically.
Angles are measured differently depending on the field: everyday geometry and navigation use degrees, mathematics and physics use radians because they simplify calculus, surveying and some European countries use gradians, and GPS coordinates and astronomy traditionally use degrees-minutes-seconds (DMS).
All three numeric units relate exactly: a full turn is 360 degrees, 2π radians, or 400 gradians. So 1 degree = π/180 radians ≈ 0.0174533 rad, and 1 gradian = 0.9 degrees exactly. DMS is simply a different way of writing a degree value — the whole degrees stay the same, and the fractional part is broken into 60 minutes and 60 seconds.
Radians make derivative and integral formulas for trigonometric functions come out clean, which is why math and physics default to them.
A gradian splits a right angle into 100 parts instead of 90, which simplifies some decimal-based surveying calculations.
Latitude and longitude are traditionally written in DMS, like 40° 26' 46" N, though decimal degrees are now also common.
Unlike volume or mass, angles can meaningfully be negative to indicate direction, so this tool allows negative values throughout.
Common questions about converting between degrees, radians, gradians and DMS.
Multiply degrees by pi divided by 180 (approximately 0.0174533). For example, 90 degrees equals pi/2 radians, about 1.5708 radians.
A gradian (or gon) divides a full circle into 400 equal parts instead of 360. A right angle is 100 gradians, and 1 gradian equals exactly 0.9 degrees.
Degrees-minutes-seconds (DMS) splits a degree into 60 minutes and each minute into 60 seconds, written like 40° 26' 46". It is the traditional format for latitude, longitude and surveying.
Keep the whole number of degrees, multiply the remaining decimal by 60 to get minutes, keep the whole number of minutes, and multiply the remaining decimal by 60 again to get seconds.
Yes. Unlike physically bounded units such as mass or volume, angles can be negative to represent direction or rotation, so this tool allows negative values in every field.