Question

the diameter of the moon is approximately one fourth of the diameter of the earth find the ratio of their surface areas.

Answer 1

Surface area =
$4\pi {r}^{2}$
Diameter of earth = 1
Radius of earth = 1/2
Diameter of moon 1/4
Radius of moon = 1/8

Surface area of earth
$\pi \times\frac{1}{2} \times \frac{1}{2} \times 4$
$equals \: 1\pi$
Surface area of moon =
$\pi \times \frac{1}{8} \times \frac{1}{8} \times 4$
$equals \: 16\pi$
Ratio = 1:16 (both the pi will get cancelled)
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Answer 2

Answer:

= pie x 1/2 x1/2 x 4 = 16 pie

Pie will cancel and ratio become 1:16