📐 Angle Converter
Degrees are intuitive but mathematicians use radians. Gradians for surveying/artillery. Turns (full revolutions) is what game engines and GPS use internally.
Last updated — conversions use exact ISO unit definitions.
How it works
All angle conversions route through the degree. One full circle is 360°, 2π radians, 400 gradians, or 1 turn. The radian is the SI unit — defined as the angle subtended by an arc equal in length to the radius, which is why π rad = 180°. To convert degrees to radians, multiply by π/180; to go the other way, multiply by 180/π.
Gradians are a metric curiosity — 100 grad = 90°, so 1 grad = 0.9°. They were introduced with the French revolution but never widely adopted outside surveying. Engineers still occasionally use them on some theodolites.
You'll also see minutes and seconds of arc (1° = 60′ = 3600″) — mostly in astronomy and cartography. This tool handles decimal degrees, degrees-minutes-seconds, radians, gradians, and full turns.
Why radians matter
A full circle = 360° = 2π radians. Radians are the natural angle unit: arc length = radius × radians. Gradians split a circle into 400 equal parts for convenient decimal angles.
How accurate are these conversions?
All conversions use ISO 80000 standard unit definitions. For example, 1 inch = 2.54 centimeters exactly by international agreement.
Why can't I see all units on mobile?
The result table scrolls horizontally. The headline pair above shows the most commonly requested conversion.
Do you store my inputs?
No. All calculations happen in your browser. We collect zero personal data.
General information only — see our disclaimer.