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The metric for 2-sphere is $$ds^2 = dr^2 + R^2sin(r/R)d\theta^2$$
Is there an equation to describe the area of an triangle by using metric.
Note: I know the formulation by using the angles but I am asking for an equation by using only the metric.
Is there an equation to describe the area of an triangle by using metric.
Note: I know the formulation by using the angles but I am asking for an equation by using only the metric.