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

Find the ratio of their surface areas

User Eli Dagan
by
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1 Answer

3 votes

Answer:

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 ((d)/(4) )^(2) = 4\pi (d^(2) )/(16) = \pi (d^(2) )/(4)

Area of moon =
4\pi d^(2)


(Area of moon)/(Area of Earth) = (1)/(16)

User Talya
by
6.2k points
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