Angle Unit Converters
A full turn equals 360 degrees, 2π radians, or 400 gradians.
Scope & Verification
This hub groups related converter families so you can move from the category level to exact routes with one clear basis per page.
- Families are split so exact-factor, profile-based, density-based, and estimate-style pages do not collapse into one generic answer.
- Leaf pages keep calculator, common values, FAQ, and reverse routes aligned to the same assumption.
- Methodology and verification pages document how those assumptions are chosen and checked.
Public interfaces
Machine access
Conversions in this hub are represented by the canonical angle family and its registered source and target units.
Its 12 published directions use the same canonical engine through the website, JSON API, OpenAPI and WebMCP.
API & Agent documentationExplanation
Angle units describe the same rotation with different scales. Degrees divide a full turn into 360 parts, gradians into 400 parts, and radians express arc length relative to radius. Radian results often contain π, so a displayed decimal is rounded even when the underlying relationship is exact.
Angle converters are grouped into directional families so each leaf keeps one stable conversion model.
Open a family hub to reach leaf pages with direct answers, calculator output, and reverse links built on the same constants.
Questions & answers
Frequently Asked Questions
How many radians are in a full circle?
Exactly 2π radians.
How many degrees are in one turn?
Exactly 360 degrees.
Why are radian decimals approximate?
Many degree-radian conversions involve π, whose decimal expansion does not terminate.