Angle Converter
Convert between degrees, radians, gradians, and turns instantly.
Type in any field and the others update automatically.
Type in any field — the others update instantly.
Quick Reference
Right angle: 90° = 1.5708 rad = 100 grad = 0.25 turns
Straight angle: 180° = 3.1416 rad = 200 grad = 0.5 turns
Full rotation: 360° = 6.2832 rad = 400 grad = 1 turn
Straight angle: 180° = 3.1416 rad = 200 grad = 0.5 turns
Full rotation: 360° = 6.2832 rad = 400 grad = 1 turn
Angle unit conversions:
- 1 full rotation = 360 degrees = 2π radians = 400 gradians = 1 turn
- 1 degree = π/180 radians = 10/9 gradians = 1/360 turns
- 1 radian = 180/π degrees ≈ 57.2958° = 200/π gradians
- 1 gradian = 9/10 degrees = π/200 radians = 1/400 turns
Common angles:
- 90° = π/2 rad = 100 grad = 0.25 turns (right angle)
- 180° = π rad = 200 grad = 0.5 turns (straight angle)
- 360° = 2π rad = 400 grad = 1 turn (full rotation)
- 45° = π/4 rad = 50 grad = 0.125 turns
- 60° = π/3 rad = 66.667 grad = 0.1667 turns
Gradians (also called gon or grade) are used primarily in surveying and some European countries.