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Lune (Surface)


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 $\theta/(2\pi)$.

See also Lune (Plane), Sphere


Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 130, 1987.

© 1996-9 Eric W. Weisstein