Convert between degrees, radians, gradians, minutes, seconds, revolutions, and other angle units with scientific precision.
The most common unit of angle measurement, where a full rotation equals 360 degrees. 1° = 1/360 of a full rotation = π/180 radians.
Common uses: Geometry, navigation, surveying, compass directions, geographic coordinates, everyday angle measurement.
The SI unit of angle, defined as the angle subtended by an arc length equal to the radius of a circle. 1 radian ≈ 57.2958° = 180°/π. A full rotation = 2π radians.
Common uses: Calculus, trigonometry, physics, engineering, computer graphics, mathematical analysis.
A decimal-based angle unit where a full rotation equals 400 gradians. 1 grad = 1/400 of a full rotation = 0.9°. Designed for easier division by 10.
Common uses: Surveying, mapping, European military applications, modern calculators, some engineering contexts.
Subdivisions of a degree: 1° = 60' = 3,600". Also called arcminutes and arcseconds. Similar to time divisions but used for angles.
Common uses: Precision angle measurements, astronomy, navigation, surveying, GPS coordinates (latitude/longitude).
Units representing a complete rotation. 1 revolution = 360° = 2π radians = 4 right angles. Also called a full turn or complete rotation.
Common uses: Describing rotational motion, wheel rotations, engine RPM, circular motion calculations.
A 90-degree angle. 1 right angle = 90° = π/2 radians = 1/4 revolution. The angle formed by perpendicular lines.
Common uses: Geometry, perpendicularity measurement, right-angled triangles, structural design.
Equal to a right angle or 90 degrees. 1 quadrant = 90° = π/2 radians. Historically used to describe one quarter of a circle (hence the name).
Note: The term also refers to one of the four sections of a coordinate plane in mathematics.
Sign: 1 sign = 30° = 1/12 of a revolution. Historically used in astrology and ancient navigation.
Sextant: 1 sextant = 60° = 1/6 of a revolution. Named after the navigational instrument that measures angles up to 120°.
A unit used in military and surveying applications. 1 mil ≈ 0.05625° = 360°/6,400. Designed to divide a circle into 6,400 parts for precision military targeting.
Common uses: Military applications, weapon targeting, surveying, artillery calculations.
Degree-based: 1° = 60' = 3,600" (like time)
Decimal systems: 1 grad = 0.9°; 400 grad = 360°
Fractional: 1 sign = 30°; 1 sextant = 60°; 1 quadrant = 90°
Radian formula: Degrees × (π/180) = Radians