What does steradian mean?
Definitions for steradian
stera·di·an
This dictionary definitions page includes all the possible meanings, example usage and translations of the word steradian.
Princeton's WordNet
steradian, srnoun
the unit of solid angle adopted under the Systeme International d'Unites
Wiktionary
steradiannoun
In the International System of Units, the derived unit of solid angle; the solid angle subtended at the centre of a sphere of radius r by a portion of the surface of the sphere that has area r. Symbol: sr
Etymology: ste(reo) + radian
Wikipedia
Steradian
The steradian (symbol: sr) or square radian is the unit of solid angle in the International System of Units (SI). It is used in three-dimensional geometry, and is analogous to the radian, which quantifies planar angles. Whereas an angle in radians, projected onto a circle, gives a length on the circumference, a solid angle in steradians, projected onto a sphere, gives an area on the surface. The name is derived from the Greek στερεός stereos 'solid' + radian. The steradian, like the radian, is a dimensionless unit, the quotient of the area subtended and the square of its distance from the centre. Both the numerator and denominator of this ratio have dimension length squared (i.e. L2/L2 = 1, dimensionless). It is useful, however, to distinguish between dimensionless quantities of a different nature, so the symbol "sr" is used to indicate a solid angle. For example, radiant intensity can be measured in watts per steradian (W⋅sr−1). The steradian was formerly an SI supplementary unit, but this category was abolished in 1995 and the steradian is now considered an SI derived unit.
ChatGPT
steradian
A steradian is a unit of solid angular measurement in the International System of Units (SI). It is used in three-dimensional geometry, physics and other mathematical fields to measure the volume of a cone to its surface area. It represents the central angle of a sphere that encompasses a specific area on the sphere's surface equal to the square of the sphere's radius. One sphere consists of 4π steradians. Its symbol is "sr".
Wikidata
Steradian
The steradian is the SI unit of solid angle. It is used to quantify two-dimensional angular spans in three-dimensional space, analogously to how the radian quantifies angles in a plane. The name is derived from the Greek stereos for "solid" and the Latin radius for "ray, beam". The steradian, like the radian, is dimensionless, essentially because a solid angle is the ratio between the area subtended and the square of its distance from the vertex: both the numerator and denominator of this ratio have dimension length². It is useful, however, to distinguish between dimensionless quantities of different nature, so in practice the symbol "sr" is used to indicate a solid angle. For example, radiant intensity can be measured in watts per steradian. The steradian was formerly an SI supplementary unit, but this category was abolished from the SI in 1995 and the steradian is now considered an SI derived unit.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of steradian in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of steradian in Pythagorean Numerology is: 1
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"steradian." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/steradian>.
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