Angular unit

angular measurementsangularmultiples of Multiples of π
Throughout history, angles have been measured in many different units.wikipedia
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Turn (angle)

turnturnsrevolution
In some contexts, such as identifying a point on a circle or describing the orientation of an object in two dimensions relative to a reference orientation, angles that differ by an exact multiple of a full turn are effectively equivalent.
An angular mode was suggested for the WP 43S as well, but the calculator instead implements (multiples of ) as mode and unit since 2019.

Minute and second of arc

masarcsecondarc second
Subdivisions of the degree are minute (symbol ', 1' = 1/60°) and second {symbol ", 1" = 1/3600°}.
A minute of arc, arcminute (arcmin), arc minute, or minute arc is a unit of angular measurement equal to 1⁄60 of one degree.

IEEE 754

IEEE floating-pointIEEE floating-point standardIEEE floating point

Trigonometric functions

cosinetrigonometric functiontangent
The grade of a slope, or gradient is equal to the tangent of the angle, or sometimes (rarely) the sine.
For this purpose, any angular unit is convenient, and angles are most commonly measured in degrees.

Measure (mathematics)

measuremeasure theorymeasurable
Throughout history, angles have been measured in many different units.

Degree (angle)

°degreesdegree
The most contemporary units are the degree and radian (rad), but many others have been used throughout history.

Radian

radiansradmicroradian
The most contemporary units are the degree and radian (rad), but many others have been used throughout history.

History of mathematics

historian of mathematicsmathematicshistory
The most contemporary units are the degree and radian (rad), but many others have been used throughout history.

Spiral

spiralsspherical spiralwhorl
In other contexts, such as identifying a point on a spiral curve or describing the cumulative rotation of an object in two dimensions relative to a reference orientation, angles that differ by a non-zero multiple of a full turn are not equivalent.

Theta

ΘGreek letter ThetaΘ
In order to measure an angle θ, a circular arc centered at the vertex of the angle is drawn, e.g. with a pair of compasses.

Arc (geometry)

arccircular arcarcs
In order to measure an angle θ, a circular arc centered at the vertex of the angle is drawn, e.g. with a pair of compasses.

Compass (drawing tool)

compasscompassesdrafting compass
In order to measure an angle θ, a circular arc centered at the vertex of the angle is drawn, e.g. with a pair of compasses.

Circumference

circumferentialgirthcircumferential line
One turn, for which θ = n units, corresponds to an arc equal in length to the circle's circumference, which is 2

Unit of measurement

unitunits of measurementweights and measures
Throughout history, angles have been measured in many different units.

International System of Units

SISI unitsSI unit
The radian is the derived quantity of angular measurement in the SI system.

Dimensionless quantity

dimensionlessdimensionless numberdimensionless quantities
By definition, it is dimensionless, though it may be specified as rad to avoid ambiguity.

Degree symbol

°degree signdegree
Angles measured in degrees, are shown with the symbol °.

Babylonia

Sexagesimal

sexagesimal systembase 60base-60