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Surface area of an ellipsoid calculator: estimate ellipsoid surface area from three semi-axes or from three diameters using Thomsen's formula, and reverse the formula to find a missing ellipsoid axis from the area.
$$A\approx 4\pi \left(\frac{a^p b^p+a^p c^p+b^p c^p}{3}\right)^{1/p}$$$$p=1.6075$$
Uses Thomsen's approximation with p = 1.6075.