Degree Converter

Convert degrees to radians, gradians, and other angle measurement units.

Calculator

decimal places

A degree (°) is the most common unit for measuring plane angles, equal to 1/360 of a full rotation. It is used in navigation, geometry, construction, and everyday life.

Common Degree Conversions

  • 1° = π/180 rad ≈ 0,01745 rad — multiply by π/180 to convert to radians.
  • 1° ≈ 1.111 gradians — multiply by 10/9 to convert to gradians.
  • 1° ≈ 17.453 mrad — multiply by π/0.18 to convert to milliradians.
  • 90° = π/2 rad = 100 gradians — a right angle in different units.
  • 180° = π rad = 200 gradians — a straight angle.
  • 360° = 2π rad = 400 gradians — a full rotation.

Degrees are divided into minutes (1° = 60′) and seconds (1′ = 60″). This format — degrees, minutes, seconds (DMS) — is widely used in geographic coordinates and astronomy.