Math

Degree to radian conversion.

Definition

Degrees and radians are two units for measuring angles. To convert between them, use the fact that 180° equals π radians. Multiply degrees by π/180 to get radians, or multiply radians by 180/π to get degrees.

Examples

Real-world.

  • 1 90° × π/180 = π/2 radians
  • 2 π/4 radians × 180/π = 45°
  • 3 360° = 2π radians, a full circle
Key Fact

Radians = Degrees × π/180; Degrees = Radians × 180/π

Studied in

1 unit use this concept.