Enter an angle
The table updates as you type. No button.
In all units
| Unit | Value |
|---|
When you need an angle converter
A drawing may be in degrees, a formula in radians, a land survey in gradians. Type the angle and pick the unit. The table shows degrees, radians, gon, turns, arcminutes and arcseconds.
A full circle is 360°, 2π radians, 400 gon, or 1 turn. A right angle is 90°, π/2 rad, or 100 gon. Maps and telescopes still use arcminutes and arcseconds: 1° = 60′, 1′ = 60″.
Nothing is sent to a server. There is no Calculate button.
Everyday angle conversions
| From | Equals |
|---|---|
| 180° | π rad |
| 1 rad | 57.2958° |
| 1 turn | 360° |
| 100 gon | 90° |
| 1° | 60′ = 3600″ |
| 90° | π/2 rad |
The simple facts
Everything goes through radians, then to the unit you want. You do not need the formula to use the table.
How to convert angle units
- Type the value: Type the angle from the drawing, the formula, or the map.
- Pick the source unit: Choose degrees, radians or gon. Each line starts with the symbol, then the full name.
- Read every conversion: Read the same angle in the other units. Your choice is marked.
Frequently asked questions
How do I convert degrees to radians?
Multiply degrees by π/180. 180° is π radians, 90° is π/2, 45° is π/4. In numbers, 1 rad is about 57.3°.
What is a gradian (gon)?
A gon (gradian) splits the circle into 400. A right angle is 100 gon instead of 90°. Surveyors still use it.
How many arcminutes are in a degree?
Sixty. One degree is 60 arcminutes, one arcminute is 60 arcseconds. GPS and astronomy still write 12° 34′ 56″.
Should I use degrees or radians?
Degrees for drawings and headings. Radians for formulas and code (sin, cos). The table shows both, so you do not have to pick one forever.