Angle Converters
Compare degrees, radians, gradians, and turns with exact radian-based definitions and dedicated mirror pages for every route.
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.
Explanation
This hub normalizes every plane-angle route through radians as the shared reference. Exact relationships include 180° = π rad, 200 grad = π rad, and 1 turn = 2π rad, so each mirror page stays reversible without changing the underlying angle model.
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
Why are radians used in math and physics?
Radians naturally connect angle to arc length and simplify trigonometric and calculus formulas, so they are the standard analytic reference.
How many degrees are in a radian?
One radian is approximately 57.2958°, derived directly from the exact relationship 180° = π rad.
What is a turn?
A turn is one full revolution: 1 turn = 360° = 2π rad.
How do I switch direction?
Use the switch button to navigate directly to the mirror page for the reverse conversion.