Question

what is the solid angle subtended by the moon at any point of the earth given the diameter of the moon is 3474 km and its distance from the earth 3.84*10^8

Answer 1

02837838392898299299229

Answer 2

$solid \: angle \: subtended \: by \: the \: \\ moon \: at \: the \: earth \\ = \frac{area \: of \: the \: disc \: of \: the \: moon}{(moon - earth \: distance) {}^{2} } \\ = \frac{\pi \times (1.737 \times {10}^{3}) {}^{2} }{(3.84 \times {10}^{5}) {}^{2} } \\ = 2.045 \times 10 { }^{ - 5}sr$

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