Convert Degrees to Radians and Other Angle Units
Angle Converter turns a value in one angle unit into every other unit instantly. Type a number, pick a source unit, and read degrees, radians, gradians, arc minutes, arc seconds, and more side by side — no formulas to memorize.
Angles are measured differently across fields: math and physics use radians, surveyors work in gradians (gons), astronomers track arc minutes and arc seconds, and most everyday work uses degrees. This converter handles the math between all of them so students, engineers, programmers, navigators, and surveyors can switch units in seconds.
How to Use the Angle Converter
Enter a value
Type an angle into the input field, for example 90. Results update in real time as you type — there is no calculate button to press.
Pick the source unit
Choose your starting unit from the dropdown, such as Degree. Start typing a name or symbol to filter the searchable list quickly.
Read every result
The same angle appears in all enabled units at once, grouped by Common, Surveying, Astronomy, and Special. The source unit row is highlighted.
Fine-tune the output
Use Customize Units to show or hide units, the Decimals selector for 2, 4, 6, 8, or Auto precision, and the copy buttons to grab one value or Copy All Results.
Features
Instant Real-Time Conversion
Results recalculate as you type using precise factors — one radian equals exactly 180/π degrees (about 57.29577951°).
Multi-Unit Results Display
See your angle in all 12 supported units at once, grouped by category, with the source unit highlighted.
Customizable Unit List
Toggle individual units on or off so you only see what you need. Your selection is saved for your next visit.
Precision Control
Choose 2, 4, 6, or 8 decimal places, or Auto, which scales precision and switches to scientific notation for very large or small numbers.
Unit Reference Table
Open Unit Reference to see each unit's symbol, name, and typical use — handy when learning unfamiliar angle units.
Searchable Unit Dropdown
Type a unit name or symbol in the dropdown's search box to filter the list instead of scrolling.
One-Click Copy
Copy any single result, or use Copy All Results to grab every visible conversion at once.
Works on All Devices
A fully responsive layout with finger-friendly controls works on desktop, tablet, and phone.
Saved Preferences & Dark Mode
Your units, precision, and last source unit are remembered, and a built-in dark theme keeps things comfortable in low light.
Frequently Asked Questions
How do I convert degrees to radians?
Multiply the degree value by π/180 (about 0.01745329). For example, 90° × π/180 = π/2 ≈ 1.5708 radians. Enter the degrees, pick Degree as the source, and the radian result appears automatically with high precision.
How do I convert radians to degrees?
Multiply the radian value by 180/π (about 57.29577951). For example, π radians × 180/π = 180°. Just enter the value with Radian as the source unit and read the degree result.
How many degrees is one radian?
One radian is approximately 57.296° (exactly 180/π). A radian is the SI unit for angles, defined as the angle subtended by an arc equal in length to the circle's radius. A full turn of 360° equals 2π radians, about 6.283 radians.
What is a gradian (gon)?
A gradian — also called a gon or grade — divides a right angle into 100 parts instead of 90, so a full circle is 400 gradians. It simplifies some calculations in surveying and civil engineering. This converter treats gradian and gon as the same magnitude.
What are arc minutes and arc seconds?
They are subdivisions of a degree: one degree is 60 arc minutes (′), and one arc minute is 60 arc seconds (″). They are common in astronomy for precise angular measurements and in geographic coordinates such as latitude and longitude.
Why do programming languages use radians?
Most math libraries in JavaScript, Python, and C++ expect radians because they simplify calculus — the derivative of sin(x) is cos(x) only when x is in radians. Many physics and engineering formulas also assume radians, so converting from degrees is a frequent step.
What is a turn?
A turn is one complete rotation, equal to 360 degrees or 2π radians. It is intuitive for describing whole rotations — half a turn is 180° and a quarter turn is 90°.
Are the conversion results accurate?
Yes. The converter uses mathematically precise conversion factors and high-precision values for irrational ratios like degrees to radians (which involve π), so results stay reliable for scientific and engineering work.
Does this work offline?
Once the page has fully loaded, every conversion happens in your browser with no internet connection needed. You only need to be online for the initial page load.
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