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A steradian is unit for measure solid angles, defined by the solid angle that project on the surface of a sphere (radius '''r''') an area of '''r<sup>2</sup>'''. File usage No pages on the English Wikipedia use this file (pages on other projects are not listed).
sr is the unit, steradian, sr = rad 2. Because the surface area A of a sphere is 4πr 2, the definition implies that a sphere subtends 4π steradians (≈ 12.56637 sr) at its centre, or that a steradian subtends 1/4π ≈ 0.07958 of a sphere. By the same argument, the maximum solid angle that can be subtended at any point is 4π sr.
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Diagram showing a section through the centre of a cone (1) subtending a solid angle of 1 steradian in a sphere of radius r, along with the spherical "cap" (2). The external surface area A of the cap equals r2 only if solid angle of the cone is exactly 1 steradian. Hence, in this figure θ = A/2 and r = 1.
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This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Diagram showing a section through the centre of a cone (1) subtending a solid angle of 1 steradian in a sphere of radius r, along with the spherical "cap" (2). The fact that the external surface of the cap has an area of r 2 is shown. Note that this applies only if the solid angle of the cone is exactly 1 steradian. Date: 30 September 2007: Source