Betelgeuse Is a Red Supergiant Star in the Constellation Orion

Multiple Choice

Betelgeuse is a red supergiant star in the constellation Orion. It radiates heat at the rate of 2.70 × 1030 W and has a surface temperature of 3000 K. Assuming that it is a perfect emitter, what is the radius of Betelgeuse? The Stefan-Boltzmann constant is 5.670 × 10^-8 W/m² · K⁴.

A) 7.80 × 10¹⁰ m
B) 8.70 × 10¹⁰ m
C) 1.40 × 10¹¹ m
D) 1.90 × 10¹¹ m
E) 2.16 × 10¹¹ m