Assuming the sun to be a spherical body of radius R at a temperature of T K, evaluate the total radiant power, incident on Earth, at a distance r from the Sun.

where r₀ is the radius of the Earth and σ is Stefan’s constant

$fraction numerator straight R squared σT to the power of 4 over denominator straight r squared end fraction$
$fraction numerator 4 πr subscript 0 superscript 2 straight R squared σT to the power of 4 over denominator straight r squared end fraction$
$fraction numerator πr subscript 0 superscript 2 straight R squared σT to the power of 4 over denominator straight r squared end fraction$
$fraction numerator straight r subscript 0 superscript 2 straight R squared σT to the power of 4 over denominator 4 πr squared end fraction$

Solution

fraction numerator πr subscript 0 superscript 2 straight R squared σT to the power of 4 over denominator straight r squared end fraction

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