Question

7. 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:

let take the diameter of earth as x

then,

the diameter of the moon=x/4

then the ratio of the diameter of earth:to the diameter of moon

=x:x/4

Answer 2

$Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r'$

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

$given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16$

hope it helps you