The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.
Let the diameter of earth be d. Therefore, the diameter of moon will be d/4.
Radius of earth = d/2
`"Radius of moon "= 1/2xxd/4 = d/8`
`"Surface area of moon "= 4pi(d/8)^2`
`"Surface area of earth "= 4pi(d/2)^2`
`"Required ratio "=(4pi(d/8)^2)/(4pi(d/2)^2)=4/64=1/16`
Therefore, the ratio between their surface areas will be 1:16.
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