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Free Angle Converter โ€” Degrees, Radians, Gradians

Convert between units of angle

3.14159
rad = deg ร— ฯ€ / 180

Common Angles

DegreesRadiansGradians
0ยฐ00 grad
30ยฐฯ€/6 โ‰ˆ 0.523633.333 grad
45ยฐฯ€/4 โ‰ˆ 0.785450 grad
60ยฐฯ€/3 โ‰ˆ 1.047266.667 grad
90ยฐฯ€/2 โ‰ˆ 1.5708100 grad
180ยฐฯ€ โ‰ˆ 3.1416200 grad
270ยฐ3ฯ€/2 โ‰ˆ 4.7124300 grad
360ยฐ2ฯ€ โ‰ˆ 6.2832400 grad

About Angle Conversion

Angles measure rotation and are used in mathematics, engineering, navigation, and everyday life. The most common unit is degrees, where a full rotation equals 360ยฐ. Radians are the standard in calculus and physics, where a full rotation equals 2ฯ€ (approximately 6.2832). Gradians divide a full rotation into 400 units, making right angles exactly 100 gradians โ€” useful in surveying.

Our free angle converter handles degrees, radians, gradians, turns, arcminutes, and arcseconds with instant results. No sign-up required โ€” just enter a value and see all conversions simultaneously.

Common Conversions

  • 90ยฐ = ฯ€/2 radians = 100 gradians = 0.25 turns
  • 180ยฐ = ฯ€ radians = 200 gradians = 0.5 turns
  • 360ยฐ = 2ฯ€ radians = 400 gradians = 1 turn
  • 1ยฐ = 60 arcminutes = 3,600 arcseconds