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Angle Converter (Degrees, Radians)

Convert angles between degrees, radians, gradians, arcminutes, arcseconds, turns and mils.

Runs instantly in your browser — results update as you type.

How do I convert degrees to radians?

Multiply degrees by π/180 to get radians: 90° = π/2 ≈ 1.5708 rad. A full circle is 360°, 2π radians or 400 gradians.

Reference

DegreesRadiansGradians
30°0.5236 (π/6)33.33
45°0.7854 (π/4)50
90°1.5708 (π/2)100
180°3.1416 (π)200

Arcminutes and arcseconds are used in astronomy, GPS coordinates and optics (1° = 60′ = 3,600″).

Frequently asked questions

How many degrees in a radian?

About 57.2958°.

What is a gradian?

One four-hundredth of a circle, used in some surveying.

What is a mil?

An angular unit used for aiming; NATO uses 6,400 mils per circle.