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Everything about Square Degree totally explained

A square degree is a non-SI unit measure of solid angle — that is, the area of the projection of a surface onto a unit sphere centered on the point of observation. It is the three-dimensional equivalent of the degree and is denoted "deg²." The number of square degrees in the whole sky (a sphere) is 4 pi (180/pi)^2 = 129 600/pi (that is, approximately 41,253 deg²), which can be derived from that the fact that the whole sky covers 4π steradians, and one degree is π/180 radians. Thus, one square degree is approximately 1/3283 steradian.
   For example, observed from the surface of the Earth, the Moon has a diameter of approximately 0.5°, so it covers an area of approximately 0.2 deg².

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