Betelgeuse has an effective temperature of 3500 K, an angular diameter of 0.045'', and a radius of 140 parsecs. Find the physical radius and luminosity of the star.

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Betelgeuse has an effective temperature of 3500 K, an angular diameter of 0.045'', and a radius of 140 parsecs.

Find the physical radius and luminosity of the star.

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