Angle Converter

Convert between degrees, radians, gradians, and arcminutes instantly in your browser. Free online angle converter for math, trig, and navigation.

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Results

Result
DetailValue
Degrees
Radians

What is this calculator for?

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

How to Use This Calculator

Enter the values below, then press Calculate (or press Enter). The calculator updates your results instantly. Try different values to see how your inputs change the outcome.

  1. Value — enter a numeric amount.
  2. From — enter a choice from the options.
  3. To — enter a choice from the options.
  4. Review your results — the key output is highlighted, with supporting figures below.

What You'll Need

Value
a numeric amount · required
From
a choice from the options (Degrees (°), Radians (rad), Gradians (gon), Arcminutes ('), Arcseconds ("), Turns) · optional
To
a choice from the options (Degrees (°), Radians (rad), Gradians (gon), Arcminutes ('), Arcseconds ("), Turns) · optional

About This Calculator

Angle units differ by a factor: 360° = 2π radians = 400 gradians = 1 turn, and there are 60 arcminutes per degree and 60 arcseconds per arcminute.

This converter normalises your angle to degrees and converts to the chosen unit, always showing the degree and radian values too. It runs locally in your browser.

Worked Examples

Example

π rad (3.141593)

Frequently Asked Questions

What is a radian exactly?
The angle subtended by an arc equal in length to the radius. There are exactly 2π radians in a circle, so 180° = π radians.
What are gradians used for?
Gradians (400 per circle) are used mainly in surveying and some European engineering. 100 gradians = 90 degrees.