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Unformatted text preview: **There are 360 degrees in a circle. There are also 2 pi radians in a circle. This works out so that 1 radian = 360 / 2 pi = 57.3 degrees (about). How many arc seconds are in a circle? 1 degree = 60 minutes of arc, and 1 minute of arc = 60 seconds of arc. So, 1 degree = 3600 seconds of arc (arc seconds). Thus, there are 360 * 3600 = 1,296,000 arc seconds per 360 degrees. Since this also equals 2 pi radians, we divide 1,296,000 by 2 pi ? to get the number of arc seconds per radian. This works out to be: 1 radian = 206,265 arc seconds (206,264.8 to be exact)....
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- Fall '10