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UkoKoshka [18]
2 years ago
12

The diameter of the moon is approximately one fourth of the diameter of the earth.

Mathematics
1 answer:
netineya [11]2 years ago
4 0

Answer:

Step-by-step explanation:

Area of a sphere is 4\pi d^{2}

let d be the diameter of the moon and D be the diameter of the earth

d = 1/4 D

Area of Earth = 4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}

Area of moon = 4\pi d^{2}

\frac{Area of moon}{Area of Earth} = \frac{1}{16}

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