The star Betelgeuse has a temperature of $3400 \mathrm{K}$ and a luminosity of 13,200 Lsun. Calculate the radius of Betelgeuse relative to the Sun.
Added by Dustin R.
Step 1
Step 1: Recall the Stefan-Boltzmann Law, which relates the luminosity \( L \), radius \( R \), and temperature \( T \) of a star: \[ L = 4 \pi R^2 \sigma T^4 \] where \( \sigma \) is the Stefan-Boltzmann constant. Show more…
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