Question

12. The diameter of the moon is approximately one fourth
of the diameter of the earth. Find the ratio of their
surface areas.

(FULL EXPLANATION)​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Let the diameter of the Earth=2r=Radius=r

$the \: diameter \: of \: the \: moon = \frac{1}{4}(2r) = \frac{r}{2} = radius = \frac{1}{2} \times \frac{r}{2} \times \frac{r}{4} \\ ratio \: of \: the \: surface \: area \: = \frac{surface \: area \: of \: the \: moon}{surface \: area \: of \: the \: earth} \\ : \longrightarrow \: \frac{4\pi( \frac{r}{4} {)}^{2} }{4\pi {r}^{2} } = \frac{1}{16} \\ : \longrightarrow \: 1: 16$

Hence 1:16 is the answer of your given Question.

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