Angle Converter

Convert angles precisely between degrees, radians, gradians, arcminutes, and arcseconds for math, navigation, and surveying.

Convert instantly

Enter a value and choose the units. Your answer updates as you type.

Value

From

Result

0.0174532925199 Radian (rad)

Quick reference

Degree (°)1 base units
Radian (rad)57.29577951308232 base units
Gradian (gon)0.9 base units
Arcminute (′)0.016666666666666666 base units
Arcsecond (″)0.0002777777777777778 base units
Full turn360 base units

About the Angle Converter

Angles appear in geometry, trigonometry, navigation, surveying, optics, and computer graphics. This converter uses degrees as its base and the exact relationship π radians = 180 degrees. Gradians divide a right angle into 100 parts, while arcminutes and arcseconds divide one degree into 60 and 3,600 parts.

Convert an angle as you type to move between a textbook's radians, a map's degrees, or a survey's gradians—for example, 90° equals π/2 radians. Pair it with the Length Converter for trigonometric dimensions or the Area Converter for sectors and surface plans.

Frequently asked questions

How many radians are in 180 degrees?

There are exactly π radians in 180 degrees.

How many arcseconds are in a degree?

One degree contains 60 arcminutes or 3,600 arcseconds.

What is a gradian?

A gradian, also called a gon, divides a full turn into 400 parts, so a right angle is 100 gradians.

Take this calculation further

Browse the converters calculators collection for more tools in this subject.

For a related calculation, use Force Converter to convert force between newtons, kilonewtons, pound-force, kilogram-force, dynes, and related engineering units. Alternatively, use Angular Acceleration Converter to convert angular acceleration between rad/s², revolutions per minute per second, degrees per second squared, and revolutions per second squared.

For the underlying method, read Understanding Torque vs. Moment of Force: What's the Difference?.