Angle Converters
Pick a family to convert between common plane angle units using exact definitions.
Explanation
Plane-angle conversions are defined through radians as the base reference. Exact relationships include 180° = π rad, 200 grad = π rad, and 1 turn = 2π rad. Reducing every family to these fixed definitions keeps mirror conversions exact and reversible.
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.