Units of Angle - Maple Programming Help

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Units of Angle

 

Description

Examples

Description

• 

An angle symbolically has dimension 1. For consistency in the Units package, angles have the dimension length/length(radius). The SI derived unit of angle is the radian, which is defined as the angle for which the radius equals the arclength.

• 

Maple knows the units of angle listed in the following table.

Name

Symbols

Context

Alternate Spellings

Prefixes

 

 

 

 

 

radian

rad

SI *

radians

SI

degree

deg, arcdeg @

angle *

degrees

 

minute

min, arcmin @

angle

degrees

 

second

s, arcsec @

angle

degrees

 

revolution

rev

angle *

revolutions

 

gon

 

angle *

gons

 

grade

 

angle *

grades, grad, grads

 

mil

 

angle

mils

 

mil

 

military

mils

 

circle

 

angle

circles

 

semicircle

 

angle

semicircles

 

quadrant

 

angle

quadrants

 

sign

 

angle

signs

 

point

 

angle

points

 

hour

 

angle

hours

 

  

An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively.  Refer to a unit in the Units package by indexing the name or symbol with the context, for example, radian[SI] or rev[angle]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, radian or rev.

  

 

  

The units of angle are defined as follows.

  

A degree is defined as π180 radian.

  

A minute is defined as 160 degree.

  

A second is defined as 160 minute.

  

A revolution is defined as 2Pi radians.

  

A gon, grade, or grad is defined by the relationship: 100 grades equals π2 radians.

  

An angular mil is defined as 11000 radian.

  

A military mil is defined as π3200 radian.

  

A circle is defined as 2Pi radians.

  

A semicircle is defined as π radians.

  

A quadrant is defined as π2 radians.

  

A sign is defined as π6 radian.

  

A point is defined as π16 radian.

  

An hour is defined as π12 radian.

Examples

convert'radian','dimensions'

plane_angle

(1)

convert'radian','dimensions','base'=true

lengthlengthradius

(2)

convert10,'units','degrees','radians'

118π

(3)

See Also

convert/dimensions

convert/units

Units

Units/Index

Units/length

 


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