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Precalculus Mathematics Homework Help
Sum of the angles of a spherical triangle
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[QUOTE="harpf, post: 5491969, member: 398453"] [h2]Homework Statement [/h2] What is the sum of the angles of a spherical triangle formed on the surface of a sphere of radius R? The triangle is formed by the intersections of the arcs of great circles. Let A be the area of the surface of the sphere enclosed by the triangle. This question is a result of self-study. [h2]Homework Equations[/h2] The text I have provides the following formula: sum of the angles = π + A/R^2 [h2]The Attempt at a Solution[/h2] A course I had last year covered steradians. My confusion relates to the formula. If the triangle was two-dimensional, the sum of the angles would of course be π radians. Also, the surface area enclosed by the spherical triangle subtends a solid angle of A/R^2 steradians. Do these details mean that the right side of the formula listed above is a sum of radians and steradians? Are radians and steradians both just considered “degrees” that can be added together? Thank you for clarifying. [/QUOTE]
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Precalculus Mathematics Homework Help
Sum of the angles of a spherical triangle
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