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

Answer:

Step-by-step explanation:

Area of a sphere is $4\pi d^{2}$

let d be the diameter of the moon and D be the diameter of the earth

d = 1/4 D

Area of Earth = $4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}$

Area of moon = $4\pi d^{2}$

$\frac{Area of moon}{Area of Earth} = \frac{1}{16}$