Angle Converter

Angles appear in every branch of science, engineering, and mathematics, but they are expressed in several different units depending on the discipline and the country. The degree is the most familiar unit, dividing a full circle into 360 equal parts based on ancient Babylonian mathematics. The radian is the SI unit and is preferred in physics, calculus, and computer programming because it makes many mathematical formulas simpler: the arc length of a circle equals the radius times the angle in radians, and the derivatives of trigonometric functions are clean expressions only when the angle is in radians. The gradian, also called a grad or gon, divides the full circle into 400 parts and was promoted as a metric alternative to degrees because a right angle becomes exactly 100 grads. It is still used in surveying across parts of Europe. The turn, also called a revolution or cycle, expresses the angle as a fraction of a complete rotation: one turn equals 360 degrees or 2 pi radians. Arcminutes and arcseconds are sub-divisions of the degree used in astronomy, navigation, and geodesy, where very precise angular measurements are needed: one degree equals 60 arcminutes, and one arcminute equals 60 arcseconds. This converter supports all six units. Select the unit you want to convert from, enter the angle, and all five other units update immediately.

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