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平方度

平方度(英語:square degree)是一個量度立體角的非國際單位制單位。這個單位是從對平面角的度量推廣得到的。對應於切分為360份所得到的單位,將一個球面切分為份,每一份即為一平方度。這個數值大約為41252.96。

推導

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圓形的周界:

把圓形的周長當成是360

此時一度(1°)對應的弧長為1。

球面積:

在同樣的半徑下,一平方度對應的表面積亦為1。

因此一個球面約為41252.96平方度[註 1]

应用

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平方度這個單位被廣泛應用於天文學上,以度量天區在天球所佔的面積。例如,從地球上觀察,月球的視面積大約為0.196平方度;而天球上最大的單一星座長蛇座,其面積約為1,302.844平方度,差不多佔了地平线以上天空的6%[註 2]

注释

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  1. ^ 另一個常用的對立體角的度量單位是球面度,它們之間的換算關係為一平方度等於(π/180)2球面度。
  2. ^ 關於全部88個星座的面積見星座面積列表

參見

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外部連結

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平方度
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