Angle Converter

Convert between degrees, radians, gradians and turns instantly. This free angle converter runs entirely in your browser — nothing is uploaded, so it works offline once the page has loaded.

How to use the angle converter

  1. Enter your value. Type the angle you want to convert into the Value box.
  2. Pick your units. Choose the unit you are converting from and the unit you want to. Use the ⇄ button to swap them in one click.
  3. Read the result. The converted angle appears immediately, along with a full table showing the same value expressed in every supported unit.

About this tool

Angles can be measured in several different systems, and switching between them is a common chore in trigonometry, engineering, surveying, navigation and computer graphics. A full circle equals 360 degrees, 2π radians, 400 gradians or exactly one turn. Radians are the natural unit in calculus and programming because functions like Math.sin and Math.cos expect radians, while degrees remain the everyday unit for maps and protractors. Gradians (also called gons or grades) are still used in some European surveying, and arcminutes and arcseconds subdivide the degree for astronomy and precise bearings.

This converter uses exact conversion factors — for example π radians = 180 degrees and 1 gradian = 0.9 degrees — so your results are as accurate as floating-point arithmetic allows. Every calculation happens locally in your browser using plain JavaScript, meaning your numbers are never sent to a server and the tool keeps working even without an internet connection.

Frequently asked questions

How many degrees are in one radian?

One radian equals 180 ÷ π degrees, which is about 57.29578 degrees. Conversely, one degree equals π ÷ 180 radians, roughly 0.0174533 radians.

What is a gradian?

A gradian (symbol gon, also called a grade) divides a right angle into 100 equal parts, so a full circle is 400 gradians. That makes one gradian equal to 0.9 degrees. It is mainly used in surveying and some engineering fields.

What is a turn?

A turn is one complete revolution — 360 degrees, 2π radians or 400 gradians. Fractions of a turn are handy in engineering and design; for example a quarter turn is 90 degrees.

How do arcminutes and arcseconds relate to degrees?

Each degree is divided into 60 arcminutes, and each arcminute is divided into 60 arcseconds. So one degree equals 3,600 arcseconds. These fine subdivisions are used in astronomy and precise navigation.