Angle Radian Converter

Convert between degrees, radians, and grads, with DMS support.

Degree ↔ Radian ↔ Grad
DMS (Degree-Minute-Second) Conversion
Common Angle Reference
DegreeRadianGrad
00
30°π/633.33
45°π/450
60°π/366.67
90°π/2100
120°2π/3133.33
180°π200
270°3π/2300
360°400

Conversion Relationships

  • 1 radian = 180/π ≈ 57.2958°
  • 1° = π/180 ≈ 0.01745 rad
  • 1 grad = 0.9°, 1° = 10/9 grad
  • Full circle: 360° = 2π rad = 400 grad

Usage Instructions

Features

Real-time conversion between degree (°), radian (rad), and grad units, supporting bidirectional conversion between decimal degrees and DMS format, with a common angle reference table.

Steps

Enter a value in any unit input field and other units will auto-convert → In the DMS area, enter decimal degree or D/M/S for conversion → Click any row in the reference table to apply that angle.

Notes

All conversions run locally in real time without uploading data; radian results keep high-precision decimals with trailing zeros automatically removed; DMS conversion keeps two decimal places for seconds.