Answer:
Step-by-step explanation:
Area of a sphere is [tex]4\pi d^{2}[/tex]
let d be the diameter of the moon and D be the diameter of the earth
d = 1/4 D
Area of Earth = [tex]4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}[/tex]
Area of moon = [tex]4\pi d^{2}[/tex]
[tex]\frac{Area of moon}{Area of Earth} = \frac{1}{16}[/tex]
