How to convert degrees to radians (and gradians)

Type an angle — read degrees, radians, gradians, arcminutes, or turns instantly.

Trig functions want radians, CSS transforms take degrees or turns, and surveying uses gradians. The Angle Converter converts between all angle units instantly.

Try it — convert angle units

How it works

  1. Pick units — "Degree (°)" to "Radian (rad)", or any other pair.
  2. Type a value — the result updates as you type, with swap and copy.
  3. Copy — one click, with "Copied!" feedback.

Angle conversion factors

Every unit converts through the degree (the base unit). To convert A → B, multiply by A's factor and divide by B's:

Unit= this many degrees
Degree (°)1
Radian (rad)57.295779513082
Milliradian (mrad)0.057295779513
Gradian (gon)0.9
Arcminute (′)0.016666666667
Arcsecond (″)0.000277777778
Turn (tr)360

When you need it

The conversions you use daily as a developer: 180° = π rad ≈ 3.14159 rad, 1 rad ≈ 57.2958°, and CSS accepts deg, rad, grad, and turn — 0.25turn = 90° = 100grad.

Sources & methodology

Conversion factors follow BIPM SI Brochure; exact-by-definition factors are marked in the tool itself. All math runs client-side in your browser — nothing is uploaded.

More conversion guides

Or browse everything at once in the new unit & sizing converters roundup.