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.
Methodology How We Verify Editorial Policy

Explanation

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.

Read more

Open a family hub to reach leaf pages with direct answers, calculator output, and reverse links built on the same constants.

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.