Spherical Lune


A sliver of the surface of a sphere of radius r cut out by two planes through the azimuthal axis with dihedral angle theta. The surface area of the lune is


which is just the area of the sphere times theta/(2pi). The volume of the associated spherical wedge has volume


See also

Hosohedron, Lune, Sphere, Spherical Wedge

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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.

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Spherical Lune

Cite this as:

Weisstein, Eric W. "Spherical Lune." From MathWorld--A Wolfram Web Resource.

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