ConverterAngle Converter
Convert signed angles among degrees, radians, and gradians without normalizing them to one turn.
Separates exact π-based relationships from finite decimal display and preserves the sign and turn count of the entered angle.
What This Category Covers
- Degrees, radians, and gradians
- Geometry, trigonometry, CAD, and navigation
- Full-turn and partial-turn comparisons
- Angle units expected by formulas and software
- Intermediate precision before later calculations
Common Use Cases
- 360° equals 2π radians and 400 gon.
- A π relationship can be exact while its decimal display is approximate.
- Negative and multi-turn values are converted as entered.
Quick Reference
| Task | Recommended Tool | Why It Helps |
|---|---|---|
| Trig and calculus work | Degrees to Radians | Most scientific functions expect radians. |
| Engineering drawing review | Radians to Degrees | Useful when reporting angles for teams. |
| Survey conversion checks | Degrees to Gradians | Supports mixed surveying conventions. |
Exact Relationships And Signed Angles
A full turn is 360 degrees, 2π radians, or 400 gradians. Degrees and gradians have the exact rational relationship 9 degrees = 10 gon; degree/radian conversion uses π.
The mathematical π relationship is exact, while any finite decimal shown for a radian result is an approximation produced by JavaScript number arithmetic and display formatting.
The tools preserve signed and multi-turn input. They do not wrap values modulo 360 degrees, 2π radians, or 400 gon.
Popular Angle Converter
Search In Library →
AngleDegrees to Radians
Convert a degree angle into radians for mathematical or software input. Signed angles are preserved; no modulo normalization is applied.
AngleRadians to Degrees
Express a radian angle in degrees. Signed angles are preserved; no modulo normalization is applied.
AngleDegrees to Gradians
Convert a degree angle into gradians for surveying or decimal-turn notation. Signed angles are preserved; the tool does not normalize a value to one turn.
Related Guides
These references explain radians, degrees, and gradians so trigonometry, engineering, and rotation values are interpreted before they are converted.
All 4 Tools In This Category
Degrees to Radians
Convert a degree angle into radians for mathematical or software input. Signed angles are preserved; no modulo normalization is applied.
AngleRadians to Degrees
Express a radian angle in degrees. Signed angles are preserved; no modulo normalization is applied.
AngleDegrees to Gradians
Convert a degree angle into gradians for surveying or decimal-turn notation. Signed angles are preserved; the tool does not normalize a value to one turn.
AngleGradians to Degrees
Convert gradians into degrees. Signed angles are preserved; the tool does not normalize a value to one turn.
Related Categories
Angle Converter FAQ
Use the unit expected by the formula, software, drawing, or data source. Many programming and trigonometric APIs expect radians, while everyday geometry commonly uses degrees.
No. It expresses the same rotation in another angle system. Keep the unit label with the result.
A rounded intermediate angle can introduce avoidable error when it is used in later calculations. Round for the final display instead.