Angle Converter

Convert angles between degrees, radians, gradians, and other units.

Calculator

decimal places

An angle is a geometric figure formed by two rays sharing a common endpoint. Angles are used in geometry, trigonometry, astronomy, and navigation.

Main Angle Measurement Units

  • Degree (°) — the most common unit. A full rotation equals 360°.
  • Radian (rad) — the SI unit. A full rotation equals 2π ≈ 6.2832 rad.
  • Gradian (gon) — a full rotation equals 400 gradians. Used in surveying and construction.
  • Milliradian (mrad) — used in optics, ballistics, and military applications.

Common Angle Conversions

  • 1° = π/180 rad ≈ 0.01745 rad
  • 1 rad ≈ 57.296°
  • 1 grad = 0.9°
  • 90° = π/2 rad = 100 gradians