Free Angle Converter

Degrees for everyday angles, radians for calculus, gradians for surveying — the same turn of a wheel wears three different numbers. This free angle converter translates between all of them instantly, including arcminutes, arcseconds and full turns.

—

Value in all angle units

UnitValue
Private by design. This tool runs 100% in your browser — nothing is uploaded to any server.

How to Use the Angle Converter

  1. Enter a value in the input box above.
  2. Choose the units to convert from and to — use the ⇄ button to swap them instantly.
  3. See the result immediately, plus the value converted into every other angle unit in the table below.
  4. Copy the result with one click to use it anywhere.

Features

Seven angle units: degrees, radians, gradians, turns, arcminutes, arcseconds and milliradians. Live results, swap button, and a complete equivalence table.

Benefits & Use Cases

Students tackling trigonometry, engineers programming rotations, navigators, and game developers all get exact values without reaching for a calculator. Full double-precision math keeps small angles accurate.

Tips

180° = π radians ≈ 3.14159 rad — the single most useful angle fact. A full circle is 400 gradians, which is why surveyors like them: 100 gradians = a right angle.

Frequently Asked Questions

How do I convert degrees to radians?

Multiply degrees by π/180 (≈ 0.0174533). For example, 180° = π ≈ 3.14159 rad.

How do I convert radians to degrees?

Multiply radians by 180/π (≈ 57.2958). For example, 1 rad ≈ 57.30°.

What is a gradian?

1/400 of a full circle, so 100 gradians = 90°. Common in surveying.

How many arcminutes are in a degree?

60 arcminutes per degree, and 60 arcseconds per arcminute.

Related Tools