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Angle Converter

Degrees, radians, gradians, turns

By Guga — BrowserTools maintainer, Tbilisi, Georgia Updated 2026-08-30
Free Private No uploads
What is Angle Converter?

A degree is one three-hundred-and-sixtieth of a full turn, and every other angle unit here is a fixed multiple or fraction of that, so the conversions are exact. A radian is the odd one out in a useful way: 1 radian works out to 57.2957795 degrees, a number with no terminating decimal because it is derived from pi. A gradian, used in surveying and some European road engineering, divides the circle into 400 parts, so a right angle is exactly 100 gradians and a whole turn exactly 400. Arcminutes and arcseconds follow the sexagesimal system: 60 to a degree, 3600 to a degree. Milliradians are included for artillery and surveying work, where a single milliradian is 0.0572958 degrees. Negative and fractional values pass through untouched, and the whole set appears at once below the fields.

Convert angles between degrees, radians, gradians, turns, arcminutes and arcseconds. A quick utility for math, engineering and game development.

Private Angle Converter In Your Browser

Angle Converter is processed locally with client-side JavaScript. Your files never touch a server, and there is no queue to wait in.

Step-by-Step

How to use Angle Converter

1

Enter the angle in the Value field — fractions and negative numbers are accepted.

2

Choose the unit you are starting from in the From unit dropdown.

3

Pick the destination in To unit, or press the swap control to reverse the direction.

4

Compare all seven results in the All angle units grid, tapping one to promote it to the Result line.

Key Capabilities
  • Seven units covering the SI, survey and navigational angle systems
  • Radian handled at its true value of 180/π degrees, not a rounded 57.3
  • Gradians at exactly 400 to the full turn, so 100 is a right angle
  • Arcminute and arcsecond handled at 60 and 3600 per degree
Common Use Cases
  • A game programmer converting a 45-degree field of view into radians for a camera parameter.
  • A surveyor reading a bearing in gradians and needing it in degrees for a site plan.
  • A student checking a hexagon's 120-degree internal angle against its value in radians.
Clear Answers

Frequently Asked Questions

Why is 1 radian not a round number of degrees?
Because the radian is defined geometrically, by arc length, rather than as a fraction of a circle. That makes it the natural unit for angular velocity and wave phase, and it fixes the degree value at 180/π = 57.2957795 degrees. Since pi is irrational, no radian is exactly a terminating decimal number of degrees.
What are gradians for?
They divide a full turn into 400 units instead of 360, which makes a right angle exactly 100 — convenient in surveying and in some European road and cadastral work. The conversion is a simple one: 90 degrees is 100 gradians and 360 degrees is 400 gradians.
Is a milliradian the same as a millidegree?
No, and the difference is large. A milliradian is a thousandth of a radian, so it equals 0.0572958 degrees, whereas a millidegree is a thousandth of a degree. Milliradians show up in artillery and long-range optics, which is why they are worth having alongside degrees and gradians.
What about minutes of time rather than arc?
The arcminutes and arcseconds here are angles: there are 60 arcminutes to a degree. A minute of time, used in astronomy and navigation, is 15 arcminutes instead, because the sky appears to move a degree every four minutes. A degree of sky is 240 minutes of time, not 60.