# 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 °.

### Mathematical constant

**constantconstantsMathematical constants**

### HP-42S

**WP 43SFree42SwissMicros DM42**

### Circular sector

**quadrantsectorsectors**

### Euclid's Elements

**ElementsEuclid's ''ElementsEuclid**