Angle Converter
Convert between degrees, radians, and gradians.
📐 Used in math, engineering, and navigation. 1 revolution = 360° = 2π rad.
What Is This Tool?
This tool converts between angle units: degrees, radians, gradians, arc minutes, arc seconds, and full revolutions.
Key Conversions
- 1 revolution = 360° = 2π radians ≈ 6.283 rad
- 1 degree = π/180 radians ≈ 0.01745 rad
- 1 radian ≈ 57.2958°
- 1 degree = 60 arc minutes = 3,600 arc seconds
- 1 gradian = 0.9° (a full circle = 400 gradians)
When You'll Need This
- Math class — trigonometry uses radians, geometry uses degrees
- Programming — most math functions (sin, cos) take radians
- Astronomy — very small angles in arc seconds
- Navigation — bearings in degrees
- Surveying — some countries use gradians (gon)
Why Radians?
Radians are the "natural" angle unit because they relate directly to circle geometry: an angle of 1 radian cuts an arc equal to the radius. Calculus formulas (derivatives of sine and cosine) only work cleanly in radians.
Frequently Asked Questions
How do I convert degrees to radians in code?
Multiply degrees by π/180, or use the built-in function (e.g., radians() in Python, Math.PI/180 in JavaScript). Most languages also have a degrees-to-radians helper.
About the Angle Converter
The Angle Converter converts angle converterfrom one unit to another using the exact internationally defined conversion factors. Type a value, choose your source and target units, and the converted result is shown instantly — no waiting, no page reload.
Manual conversion is error-prone because it means memorizing ratios (how many feet in a meter, how many pints in a liter). This tool removes that friction: the conversion factor is built in, and the math is done to full precision with no rounding until the final displayed number.
How to Use This Tool
- Enter the value you want to convert in the input field.
- Select the unit you are converting from.
- Select the unit you want to convert to.
- The converted value appears instantly. Adjust either unit to compare across the board.
- Copy the result if you need it elsewhere. Your input is never sent anywhere.
Why Use an Online Converter?
Browser-based tools like this one have a few real advantages over installed software or manual methods:
- No installation. It opens instantly in any browser, on any operating system.
- Private by default. Everything runs locally, so your data stays on your device.
- Always up to date.There's nothing to update — you always get the latest version when you load the page.
- Free and unlimited. Use it as often as you like, with no account and no caps.
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