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Spherical Polygon


A closed geometric figure on the surface of a sphere which is formed by the arcs of great circles. The spherical polygon is a generalization of the spherical triangle. If theta is the sum of the radian angles of a spherical polygon on a sphere of radius R, then the area is

 S=[theta-(n-2)pi]R^2.

See also

Great Circle, Spherical Polyhedron, Spherical Triangle

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References

Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 131, 1987.

Referenced on Wolfram|Alpha

Spherical Polygon

Cite this as:

Weisstein, Eric W. "Spherical Polygon." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SphericalPolygon.html

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