Conversion Master

Angle Converter

Angle Converter

Result:

Angle Conversion Units and Formulas

Metric and Standard Units

  • Degree (°)

    • 1° = 1°
  • Radian (rad)

    • 1 rad = 57.2957795131°
    • 1° = 0.0174532925 rad
  • Gradian (gon or g)

    • 1 gon = 0.9°
    • 1° = 1.1111111111 gon
  • Minute (‘)

    • 1′ = 0.0166666667°
    • 1° = 60′
  • Second (“)

    • 1″ = 0.0002777778°
    • 1° = 3600″
  • Sign

    • 1 sign = 30°
    • 1° = 0.0333333333 sign
  • Mil

    • 1 mil = 0.05625°
    • 1° = 17.7777777778 mil

Conversion Formulas

  • Degree (°):
    1° = 0.0174532925 rad (radian)
    1° = 1.1111111111 gon (gradian)
    1° = 60′ (minute)
    1° = 3600″ (second)

  • Radian (rad):
    1 rad = 57.2957795131° (degree)
    1 rad = 63.6619772367 gon (gradian)
    1 rad = 3437.7467707848′ (minute)
    1 rad = 206265″ (second)

  • Gradian (gon):
    1 gon = 0.9° (degree)
    1 gon = 0.0157079633 rad (radian)
    1 gon = 60′ (minute)
    1 gon = 3600″ (second)

  • Minute (‘):
    1′ = 0.0166666667° (degree)
    1′ = 0.000291888 rad (radian)
    1′ = 1.1111111111 gon (gradian)
    1′ = 60″ (second)

  • Second (“):
    1″ = 0.0002777778° (degree)
    1″ = 4.8481368111E-6 rad (radian)
    1″ = 0.0005555556 gon (gradian)
    1″ = 0.0166666667′ (minute)
  • Sign (sign):
    1 sign = 30° (degree)
    1 sign = 0.5235987756 rad (radian)

  • Mil (mil):
    1 mil = 0.05625° (degree)
    1 mil = 0.0009817477 rad (radian)

Special Units

  • Revolution (r)

    • 1 revolution = 360°
    • 1° = 0.00277777778 revolution
  • Circle

    • 1 circle = 360°
    • 1° = 0.00277777778 circle
  • Turn

    • 1 turn = 360°
    • 1° = 0.00277777778 turn
  • Quadrant

    • 1 quadrant = 90°
    • 1° = 0.0111111111 quadrant
  • Right Angle

    • 1 right-angle = 90°
    • 1° = 0.0111111111 right-angle
  • Sextant

    • 1 sextant = 60°
    • 1° = 0.0166666667 sextant

Conversion Formulas

  • Revolution (r):
    1 revolution = 360° (degree)
    1 revolution = 2π rad (radian)
    1 revolution = 400 gon (gradian)

  • Circle:
    1 circle = 360° (degree)
    1 circle = 2π rad (radian)
    1 circle = 400 gon (gradian)

  • Turn (turn):
    1 turn = 360° (degree)
    1 turn = 2π rad (radian)
    1 turn = 400 gon (gradian)

  • Quadrant (quadrant):
    1 quadrant = 90° (degree)
    1 quadrant = π/2 rad (radian)
    1 quadrant = 100 gon (gradian)

  • Right Angle (right-angle):
    1 right angle = 90° (degree)
    1 right angle = π/2 rad (radian)
    1 right angle = 100 gon (gradian)

  • Sextant (sextant):
    1 sextant = 60° (degree)
    1 sextant = π/3 rad (radian)
    1 sextant = 66.6666666667 gon (gradian)

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