Consider a Red Giant Star with a Luminosity of 200 $\odot$

Essay

Consider a red giant star with a luminosity of 200 L _$\odot$ and a radius of 50 R _$\odot$ . Using the luminosity-temperature-radius relationship (L $\infty$ R²T ⁴), calculate how hot this star's surface temperature will be compared to the Sun, whose temperature is 5,800 K.