Angle Converter
Convert between degrees, radians, gradians, arcminutes, arcseconds, and revolutions.
How angle conversion works
Every angle unit here is converted through radians as a common base — the natural unit angles are measured in for most math and physics formulas. A full circle is 360 degrees, 2π radians, or 400 gradians, so each unit is just a different way of dividing up the same rotation.
Common conversions
- 90° = π/2 radians ≈ 1.5708 radians = 100 gradians
- 180° = π radians = 200 gradians (half a revolution)
- 1° = 60 arcminutes = 3,600 arcseconds
- 1 revolution = 360° = 2π radians = 400 gradians
Frequently asked questions
What are gradians used for?
Gradians (also called gons) divide a right angle into 100 units instead of 90, making a full circle 400 gradians. They're mostly used in surveying and some European engineering contexts, rather than everyday math.
Why do arcminutes and arcseconds matter?
They're used for measuring very small angles precisely — common in astronomy, navigation, and optics, where a single degree is too coarse a unit.