Free Online Angle Converter

An angle tool maps a value across degrees, radians, gradians, turns, arc-minutes and arc-seconds using the exact relation 180° = π radians.

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Result
3.14159265 radian
1 degree = 0.0174532925 radian. 180° = π radians.

How to Use This Converter

  1. Pick the input unit in From.
  2. Pick the output unit in To.
  3. Type the angle value; the converted angle and factor display.
  4. Tap swap to flip the conversion.

What Is an Angle Converter?

Different fields settle on different angular units. Geometry, navigation and machining use degrees. Calculus and physics use radians, the natural unit where 180° = π. French surveyors introduced gradians so a right angle is exactly 100 grad (and the full circle is 400 grad). CSS transforms accept any of deg, rad, grad and turn. Astronomy reports tiny angles in arc-minutes and arc-seconds, where 1° = 60 arc-min = 3600 arc-sec.

Engineers writing trig code, CSS developers picking a unit for a transform and amateur astronomers logging telescope pointing all need quick cross-conversion. A full turn is 360° = 2π rad = 400 grad = 21,600 arc-min.

The tool normalises to radians internally to keep the trigonometric relationships exact, then converts to the chosen output.

Frequently Asked Questions

How do I convert degrees to radians?
Radians = degrees × π/180. 180° = π radians.
What is a gradian?
400 gradians = 360°. Used in some surveying. 90° = 100 gradians.
When to use radians?
Calculus, trigonometry, and physics often use radians. Many formulas are simpler in radians.

Published by the WeGotEveryTool team. We build and test every tool in-house and update pages when the underlying spec, formula, or recommendation changes.

Reviewed: May 2026. Disclaimer: this tool is provided as-is for general informational use. For decisions with material consequences (medical, legal, financial, security) verify results against a qualified professional source.

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