Talk:Square degree

Latest comment: 6 years ago by 92.13.59.35 in topic When, who and what?

Two dimensional?

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I fear this article is not clear enough... Since degrees are two-dimensional (the angle formed by the intersection of oblique unidimensional objects in two dimensions)

I agree with that. The article contains no clear definition of a square degree, only a conversion factor between steradian and square degree. Is someone able to give a definition of a square degree without knowledge of steradians? Michel Arts (talk) 22:22, 13 October 2011 (UTC)Reply

Formula!

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This page has to have a formula. It comes so close, 1/2° is 0.2 sq.deg, but we don't know how to get from one to the other. McKay 05:20, 12 October 2006 (UTC)Reply

The Moon and the Sun are circles, so area A = πr².
The diameter d ≈ ½°, the radius r = d/2, so A ≈ π × (½/2)²≈ 0.196 ≈ 0.2 sq.deg.
HTH. -- ALoan (Talk) 09:51, 12 October 2006 (UTC)Reply


When d is small this will be reasonably accurate. In general, though, the solid angle Ω subtended by a circle with a "radius" of angle r (= d/2) on the surface of a sphere will be Ω = 2π × (1 - cos r). (Note that in the limit r -> 0, this will converge to the expected result of πr², easily checked by substituting the Taylor series for cosine of r.) This gives results in steradians; for Ω in square degrees, substitute 2π by 2π × (180/π)² deg² = (64800/π) deg² and, of course, convert degrees to radians in the argument to the cosine.

For instance, a circle with a radius of 1 degree on the surface of a sphere will not cover a solid angle of exactly π deg², but instead something slightly smaller. Contrariwise, a circle covering a solid angle of π deg² will not subtend a radius of 1°, but instead something slightly larger (about 1.00001269°).

65.211.242.6 (talk) 15:48, 4 May 2011 (UTC) (Kevin B. McCarty)Reply

Symbol

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Various symbols for "square degree" are claimed in different sources, including at least:

  1. sq.deg. [1]
  2. deg² [2]
  3. □° [3]
  4. (°)² [4]
  5. sq ° [5]

Anybody know which ones are really in common use and/or listed in reputable reference works? This Wikipedia article used to list symbols 1–3 but after this edit only mentions the second one (deg²). Is there a particular reason not to mention the others? --Jmk (talk) 10:26, 5 May 2009 (UTC)Reply

Well, this discussion has been underwhelming. I added symbols 1 and 4 to the article. --Jmk (talk) 12:20, 9 September 2009 (UTC)Reply
Over the years I have seen all variants but variant 3) being used in books, including historical literature. --Matthiaspaul (talk) 01:43, 27 October 2015 (UTC)Reply
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The external link http://www.badastronomy.com/bitesize/bigsky.html has been added and removed from this page three times. The reason given for its removal was WP:EL, but that does not seem adequate. Is there a more specific reason why it should not be listed here? --Lasunncty (talk) 10:20, 18 August 2009 (UTC)Reply

Probably what was meant was WP:ELNO Point 11. Links to blogs are normally to be avoided. Given that the author, Phil Plait has his own article, you might make a case that he's a "recognized authority". The contributors at the Reliable Sources Noticeboard at WP:RS/N might have an opinion on the matter. AlmostReadytoFly (talk) 13:31, 9 September 2009 (UTC)Reply

When, who and what?

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When was the square degree devised, by whom and for what purpose? Are there practical examples outside astronomy and geography, perhaps in an engineering discipline? 92.13.59.35 (talk) 11:06, 1 May 2018 (UTC)Reply