Question

the ratio of the diameter of the earth and moon is 100 to 27. how many times the area of the Earth is greater than the moon give your answer correct with significant figure

Answer 1

r1:r2 = 100:27.
Thus the ratio of surface areas are $4 \pi r1^{2} = 4 \pi r2^{2}$
Thus, answer is 13.7

Answer 2

Heya,

Let's take diameter of earth = 100x and diameter of moon = 27x

Radius of earth = 50x

Radius of moon = 13.5x

Surface area of Earth =

4 π r² = 4 × 3.14 approx × 2500 x²
= 31400 x² approx

Surface area of moon =
4 π r² = 4 × 3.14 × 729x² =9156.24x² approx

Ratio=

31400:9156.24
=3.429355:1
= 3.4 approx

So the surface area of earth is 3.4 times bigger than that of moon

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