Angle Converter

How to use the Angle Converter

Convert a numeric angle among degrees, radians, gradians, and full turns without navigating to separate one-direction conversion pages.

Convert angles among degrees, radians, gradians, and turns. The relationships are exact in principle, although decimal displays of π-based results are rounded.

The conversion runs locally using the stated factors or formulas. Keep enough precision for the task and verify regulated or engineering work against its controlling standard.

1. Enter an angle and choose its source unit.
2. Choose the destination unit.
3. Fieldlet converts the source value through radians and displays the converted angle.

Last reviewed for accuracy: 2026-09-01

Worked examples

How the result is produced

A full turn equals 360 degrees, 2π radians, or 400 gradians. Fieldlet converts through a turn fraction and displays an appropriate decimal result.

• Radians = degrees × π/180
• Degrees = radians × 180/π
• One turn = 360° = 2π radians

A full turn links every angle unit

Degrees, radians, gradians, and turns describe the same rotation with different scales. Radians relate arc length to radius, so many exact values naturally contain π even when the interface displays a rounded decimal.

• 1 turn = 360° = 2π radians = 400 gradians.
• 180° = π radians.
• Keep π form when an exact symbolic answer matters.

Limitations and common mistakes

• Decimal radians approximate values that may be exact multiples of π.
• The converter changes units but does not normalize direction, bearings, or angles to a particular range.

Common questions