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 
is the sum of the radian angles
of a spherical polygon on a sphere of radius 
, then the area
is
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
Subject classifications
![S=[theta-(n-2)pi]R^2.](/images/equations/SphericalPolygon/NumberedEquation1.svg)
