spherical excess

Area of a spherical triangle with given interior angles

Problem
Find the area of a spherical triangle of whose angles are 123°, 84°, and 73°. The radius of the sphere is 30 m.

A. 1863.3 square meter
B. 1570.8 square meter
C. 1958.6 square meter
D. 1480.2 square meter
 

Spherical Trigonometry

Spherical Triangle
Any section made by a cutting plane that passes through a sphere is circle. A great circle is formed when the cutting plane passes through the center of the sphere. Spherical triangle is a triangle bounded by arc of great circles of a sphere.
 

000-spherical-triangle-definition.gif

 

 
 
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