Angle Converter
Convert between degrees, radians, gradians and more
Quick Conversions
About Angle Conversion
Angles measure the rotation between two rays sharing a common endpoint and are fundamental to mathematics, physics, engineering, and navigation. The degree divides a full rotation into 360 parts and has been used since ancient Babylonian times. The radian, the SI unit, defines angles as the ratio of arc length to radius, with a full circle equaling 2 pi radians (approximately 6.283 radians).
Gradians (gon) divide a right angle into 100 parts, making a full circle 400 gradians. This system is used in some European countries for surveying and civil engineering because it simplifies calculations with perpendicular angles. Arcminutes (1/60 of a degree) and arcseconds (1/60 of an arcminute) are used in astronomy, navigation, and cartography for precise angular measurements.
The conversion between degrees and radians is one of the most frequently needed in mathematics and programming. Many programming languages use radians for trigonometric functions, while most practical applications present angles in degrees, making this converter a handy reference for developers and engineers.