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       xkcd - A Webcomic - Radians are Cursed (2748)
        
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       Phil Plait once pointed out that you can calculate the total
       angular area of the sky this way. If the sky is a sphere with
       radius 57.3 degrees, then its area is 4*pi*r^2=41,253 square
       degrees. This makes dimensional analysts SO mad, but you can't
       argue with results.
        
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