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Geodesic triangle

  1. Dec 12, 2008 #1
    An equilateral geodesic triangle is right angled. The area of a geodesic triangle on a sphere of radius r is (1/2)[tex]\pi[/tex]r^2. But how is that obtained?
     
  2. jcsd
  3. Dec 12, 2008 #2
    Draw one on a sphere, and it'll cover 1/8 of the surface.

    Or you could use Girard's theorem: the area of a spherical triangle is r2e, where e is the excess angle of the triangle (the sum of the angles, minus pi).
     
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