Answer to Question #317016 in Geometry for Nhlonipho Manganyi

Question

All of the previous questions used what we know as Euclidean geometry.

There are other geometries. One such is spherical geometry.

What can you say about the sum of the interior angles of a triangle in spherical geometry?

TOTAL

Answer 1

the sum of the interior angles of a triangle in spherical geometry is

the sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle.