A sliver of the surface of a sphere of radius 
cut out by two planes through the azimuthal
axis with dihedral angle 
. The surface area of the
lune is
which is just the area of the sphere times 
. The volume of the associated
spherical wedge has volume
See also
Hosohedron,
Lune,
Sphere,
Spherical Wedge
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References
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 130,
1987.Harris, J. W. and Stocker, H. "Spherical Wedge."
§4.8.6 in Handbook
of Mathematics and Computational Science. New York: Springer-Verlag, p. 108,
1998.Gellert, W.; Gottwald, S.; Hellwich, M.; Kästner, H.; and
Künstner, H. (Eds.). VNR
Concise Encyclopedia of Mathematics, 2nd ed. New York: Van Nostrand Reinhold,
p. 262, 1989.Referenced on Wolfram|Alpha
Spherical Lune
Cite this as:
Weisstein, Eric W. "Spherical Lune." From
MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SphericalLune.html
Subject classifications
