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Step-by-step explanation:
let the diameter of earth is 2r
radius of the earth is. 2r/2
= r/2
diameter of the moon is 1/4×2
= r/2
radius of the moon is r/2×r/2
=r/4
surface area of spherical earth = 4πr²
4×π×r×r
4πr²
surface area of spherical moon = 4πr²
= 4×π× r/4 × r/4
= 4π r²/16
ratio of their surface areas = 4πr²
4πr²
16
= 1 / 16
= 1 : 16
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