Angle Converter

Quickly switch between common and scientific angular units. This tool supports degrees, radians, gradians, and even revolutions.

Degrees to Radians: deg × (π / 180) Radians to Degrees: rad × (180 / π) 1 Degree = 60 Arcminutes = 3600 Arcseconds
Convert 45 Degrees: Radians ≈ 0.7854 rad Gradians = 50 grad Arcminutes = 2,700'

What is a radian?

A radian is the standard unit of angular measure used in mathematics. It is defined by the length of an arc of a circle divided by the radius of that circle. One full circle is 2π radians.

How do I convert degrees to radians?

To convert degrees to radians, multiply the degree value by π / 180. For example, 180° is exactly π radians.

What are arcminutes and arcseconds?

Arcminutes and arcseconds are smaller units of angular measure. There are 60 arcminutes in one degree, and 60 arcseconds in one arcminute (3,600 arcseconds per degree).

Why are there different angular units?

Degrees are common in navigation and construction for their simplicity. Radians are preferred in physics and calculus because they simplify many formulas involving trigonometric functions.