Angle Converter
Convert between angle units: degree, radian, gradian, arcminute, arcsecond, revolution, milliradian, microradian.
How do I convert degrees to radians?
Multiply the degree value by π/180. Formula: rad = deg × π/180. For example, 180° = π radians.
How do I convert radians to degrees?
Multiply the radian value by 180/π. Formula: deg = rad × 180/π. For example, π rad = 180°.
What is a gradian?
A gradian (gon) is 1/400 of a full circle. A right angle equals 100 gradians. It is used in surveying and some European countries.
What is the difference between arcminute and arcsecond?
An arcminute (′) is 1/60 of a degree, and an arcsecond (″) is 1/60 of an arcminute (1/3600 of a degree). They are used in astronomy and navigation.
What is a radian and why use it?
A radian is the standard unit of angular measure in mathematics. One radian is the angle subtended at the center of a circle by an arc equal in length to the radius. Radians are preferred in calculus and physics because they simplify many formulas.
How many radians are in a full circle?
A full circle contains 2π radians, approximately 6.2832 radians. This equals 360 degrees or 400 gradians.
What units does this angle converter support?
This converter supports 8 angle units: degree (°), radian (rad), gradian (gon), arcminute (′), arcsecond (″), revolution (turn), milliradian (mrad), and microradian (μrad).
How do I convert between degrees, radians, and gradians?
Degrees to radians: multiply by π/180. Radians to gradians: multiply by 200/π. Degrees to gradians: multiply by 10/9. This tool handles all conversions instantly.
Where are angle conversions used?
Angle conversions are essential in engineering, architecture, navigation, astronomy, surveying, CNC machining, and trigonometry calculations. Different fields prefer different units.
Is this angle converter free to use?
Yes, this angle converter is completely free. No registration required, no hidden fees, and you can use it unlimited times for any angle conversion needs.
How to Use Angle Converter
Convert angles between degrees, radians, gradians, arcminutes, arcseconds, revolutions, milliradians, and microradians instantly in your browser — no data ever leaves your device.
- Type the value you want to convert into the input box on the 'From' side.
- Set the source unit in the 'From' dropdown, e.g. degree or radian.
- Choose the target unit in the 'To' dropdown — gradian, arcminute, arcsecond, revolution, milliradian, or microradian.
- Read the converted result in the 'To' field; it recalculates as you type.
Remember that 180 degrees equals pi radians and 400 gradians — the revolution option is handy for full rotations, while milliradians are common in optics and ballistics.
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