1. Half of the celestial sphere, as divided by either the ecliptic or the celestial equator .
  2. A realm or domain of activity .
  3. Half of the Earth, such as the Northern Hemisphere, Southern Hemisphere, Western Hemisphere or Eastern Hemisphere, Land Hemisphere, Water Hemisphere etc. .
  4. Any half-sphere, formed by a plane intersecting the center of a sphere. .
  5. A map or projection of a celestial or terrestrial hemisphere .
  6. Either of the two halves of the cerebrum. .

The above text is a snippet from Wiktionary: hemisphere
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