Angle Converter
Type a value in any field and every other angle unit updates instantly. Degrees, radians, gradians, arcminutes, arcseconds, turns, and milliradians โ with a live visual display.
How to use this tool
- 1Find the unit you know
Locate the input field for the angle unit you have โ degrees, radians, gradians, arcminutes, arcseconds, turns, or milliradians.
- 2Type the value
Enter your number into the field. All other unit fields and the SVG angle visualiser update instantly โ no button click needed.
- 3Copy or reference
Click the copy button next to any value to copy it. Expand the common angles table for quick reference of key values like ฯ/2, ฯ/4, etc.
Understanding angle measurement systems
Degrees
The degree is the most familiar angle unit, dividing a full circle into 360 parts. It dates back to ancient Babylonian astronomy. Degrees are used in everyday navigation, construction, and education. Sub-units include arcminutes (1/60th of a degree) and arcseconds (1/3600th), vital in astronomy and surveying.
Radians
Radians are the standard angular unit in mathematics and physics. One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. A full circle is 2ฯ radians. Radians simplify calculus and trigonometric formulas because derivative and integral identities assume radian measure.
Gradians & military units
Gradians (gon) divide a full circle into 400 parts, making a right angle exactly 100 gradians. They are used in some European land surveying. Milliradians (mrad) are one-thousandth of a radian and are standard in military range estimation because 1 mrad subtends roughly 1 metre at 1 km distance.
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