Units of Solid Angle - Maple Programming Help

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Units of Solid Angle

 

Description

Examples

Description

• 

A solid angle symbolically has dimension 1. For consistency in the Units package, solid angles have the dimension length^2/length(radius)^2. The SI derived unit of angle is the steradian, which is defined as the solid angle for which the surface area equals the radius squared.

• 

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

Name

Symbols

Context

Alternate Spellings

Prefixes

 

 

 

 

 

steradian

sr

SI *

steradians

SI

sphere

 

angle *

spheres

 

hemisphere

 

angle *

hemispheres

 

  

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, sphere[angle] or sr[SI]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, sphere or sr.

  

 

  

The units of solid angle are defined as follows.

  

A sphere is defined as 4Pi steradians.

  

A hemisphere is defined as 2Pi steradians.

Examples

convert'steradian','dimensions'

solid_angle

(1)

convert'steradian','dimensions','base'=true

length2lengthradius2

(2)

convert12,'units','hemisphere','steradians'

π

(3)

convert3,'units','steradian','radians'2

3

(4)

See Also

convert/dimensions

convert/units

Units

Units/angle

Units/Index

Units/length