What physical characteristic allows Red Giants and Red Supergiants to be luminous despite having low surface temperatures?

Answer

Immense physical size (vast surface area)

The contradiction of low temperature and high brightness in Red Giants is resolved by their immense size. Their greatly expanded radius results in a massive surface area, allowing them to radiate a tremendous amount of energy ($L Arr R^2 T^4$).

What physical characteristic allows Red Giants and Red Supergiants to be luminous despite having low surface temperatures?
temperaturestarastrophysicsdiagram