Neha Patil (Editor)

Square degree

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A square degree (deg2) is a non-SI-compliant unit measure of solid angle. Other denotations include sq. deg. and (°)2. Just as degrees are used to measure parts of a circle, square degrees are used to measure parts of a sphere. Analogous to one degree being equal to π/180 radians, a square degree is equal to (π/180)2, or about 1/7003328300000000000♠3283 = 6996304620000000000♠3.0462×10−4 steradians (0.30462 msr).

The number of square degrees in a whole sphere is approximately 7004412530000000000♠41253 deg2. This is the total area of the 88 modern constellations in the sky.

4 π ( 180 π ) 2 d e g 2 = 360 2 π d e g 2 = 129 600 π d e g 2 ≃ 41 252.96 d e g 2

Examples

  • A whole sphere has approximately 7004412530000000000♠41253 deg2.
  • The full moon covers only about 0.2 deg2 of the sky when viewed from the surface of the Earth. The Moon is only a half degree across (i.e. a circular diameter of roughly 0.5 deg), so the moon's disk covers a circular area of: π × (0.5°/2)2, or 0.2 square degrees.
  • Viewed from Earth, the Sun is roughly half a degree across (the same as the full moon) and covers only 0.2 deg2 as well.
  • It would take 210100 times the full moon (or the Sun) to cover the entire celestial sphere.
  • Assuming the Earth to be a sphere with a surface area of 510 million km2, the area of Northern Ireland (7004141300000000000♠14130 km2) and Connecticut (7004143570000000000♠14357 km2) represent a solid angle of 1.1 deg2 and 1.2 deg2, respectively.
  • The largest constellation, Hydra, covers a solid angle of 7003130300000000000♠1303 deg2, whereas the smallest, Crux, covers only 68 deg2.

    • References

    Square degree Wikipedia
    (Text) CC BY-SA