The simple answer is by looking at them.
The technical answer is by analysing their bolometric luminosity with a bolometer.
Rigel is brighter than Betelgeuse.
Betelgeuse is much larger than Rigel.
Betelgeuse is much larger than Rigel. Betelgeuse has a radius about 15 times the radius of Rigel, and a volume of about 3500 times Rigel.
Simply because Rigel is hotter.
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Betelgeuse is around 10 times greater in diameter than Rigel.
No, Rigel is hotter. Rigel is a blue star with a temperature of about 11,000 K, and Betelgeuse is a red star with a temperature of about 3,500 K.
Sirius has a luminosity of: 25.4 while Rigel has a luminosity of: 66,000 Making Rigel brighter than Sirius.
No, which means that Rigel is brighter.
Rigel is hotter by a long way with a temperature of 11,000 Kelvin, whereas Betelgeuse is a cool 3,500 Kelvin
yes
The sun appears brighter than Rigel does because it is much closer to us by a factor of about 50 million.