Angle Converter
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)