Astar having a luminosity 10,000 times that of the sun and a surface temperature only two-thirds of that of the sun, or 4,000k, will fit into the red group of stars on the hertzsprung-russell diagram.

The hertzsprung-russel diagram is a diagram that correlates the different factors such as effective temperature in Kelvin,absolute mangnitude, relative luminosity of the star compared to the sun and the spectral class of the star. The temperature of the star moves from the left to right that is from blue to red star. To determine the group of stars, we just have to trace the factors in the diagram. We can tell from the diagram that the area surrounding the point are supergiants including Betelguese and Antares. The spectral class is between KO and MO. The class where the star belongs is the supergiants.