Angle Converter

Converted amount with unit and interpretation

The labeled main result names the target unit and retains up to twelve significant digits. The unit table shows equivalent angles. Signs and full rotation counts are preserved instead of being wrapped into one turn.

To find the radius, circumference, and full disk area of a circle, use the Circle Calculator and follow its own input conventions.

The formula

Convert the supplied amount to radians using its source factor, then divide by the target factor. Degree, gradian, and turn scales derive from a full turn equaling 2π radians.

How to use this calculator

1. Enter a signed plane-angle amount.
2. Select its current unit under From and the desired unit under To.
3. Read the target-unit result and equivalent-unit table, retaining any rotation count.

Angle input conventions

Different angle systems divide the same full rotation into different counts. Degrees use 360 per turn, gradians use 400, and radians compare arc length with radius. Arcminutes and arcseconds subdivide a degree by factors of sixty. These are angular units despite sharing names with clock minutes and seconds.

Interpreting converted amount with unit

The input can be signed or larger than one full rotation. Converting 720 degrees yields two turns; the calculator deliberately does not normalize it to zero because that would lose rotation count. A negative angle also retains its sign. The unit table gives equivalent representations of the same supplied value. It does not convert solid angles in steradians or parse a combined degrees-minutes-seconds string.

Assumptions & limitations

What this calculation assumes

• All selections describe the same signed plane angle without wrapping rotations.

What to keep in mind

• Plane angles only; no bearing normalization, solid angles, or combined DMS parsing.

Common questions