Angle Converter — Degrees, Radians & Gradians

Convert between degrees, radians, gradians, arcminutes, arcseconds, milliradians, and turns.

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How this conversion works. Angles are converted through the degree; the radian factor uses 180/π per the SI definitions in the BIPM SI Brochure.

How to use

  1. Pick the unit you are converting from, such as Degree (°) or Radian (rad).
  2. Type the value and every other unit updates as you type.
  3. Copy the figure you need, or use the swap button to reverse the direction, Turn (tr) included.

Frequently asked questions

How do I convert degree to radian?

1 degree = 0.0174533 radian. Choose "Degree (°)" as From and "Radian (rad)" as To, type a value, and the result updates instantly.

Why do programming languages use radians?

Math library functions (sin, cos, tan) take radians because calculus identities like d/dx sin(x) = cos(x) only hold in radians. Multiply degrees by π/180 before calling them.

What is a gradian used for?

The gradian (gon) splits a right angle into 100 units, so 400 gon = 360°. Surveying instruments in parts of Europe still use it for decimal-friendly angle math.

Is my data sent to a server?

No. Conversions run entirely in your browser using fixed factors — nothing is uploaded or logged.

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