Convert angles between degrees, radians, gradians and other angular units quickly and accurately.
Angle measures the opening between two lines meeting at a point, and dividing the circle into 360 degrees - something most people never question - has no real physical basis at all. It's a purely mathematical convention, inherited from ancient Babylon, a civilization that used a base-60 numeral system and chose 360 because it's an extremely divisible number, simplifying fraction calculations without needing complex decimal numbers. Scientists and mathematicians, however, often prefer working with radians instead of degrees, because the radian has a mathematically more elegant definition: it represents the angle formed when a circle's arc length equals its radius, resulting in a full circle of approximately 6.28 radians (exactly 2π). This direct relationship with π makes differential calculus, advanced trigonometry, and physics formulas much simpler when expressed in radians rather than degrees. This converter calculates between degrees, radians, and gradians (a lesser-known third unit that divides the circle into 400 parts, created during the French Revolution), essential for engineers and architects working with blueprints and projects, surveyors performing land measurements, programmers developing graphics and games (where rotations are almost always calculated internally in radians), and trigonometry students transitioning between the two most commonly taught systems in math education.
1 radian equals approximately 57.2958 degrees.
Multiply the value in degrees by π/180 (approximately 0.01745).
It is an angle unit where a full turn equals 400 gradians, used mainly in surveying.