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The sun can be approximated as a spherical black body with a surface temperature of 5762 K. The irradiation from the sun as measured by a satellite in earth’s orbit is 1353 W/m^2. The distance from the earth to the sun is approximately 1.5 x 10^11 m. Assuming that the sun radiates evenly in all directions, estimate the diameter of the sun.

The sun can be approximated as a spherical black body with a surface temperature of 5762 K. The irradiation from the sun as measured by a satellite in earth’s orbit is 1353 W/m^2. The distance from the earth to the sun is approximately 1.5 x 10^11 m. Assuming that the sun radiates evenly in all directions, estimate the diameter of the sun.