Question

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The diameter of the moon is approximately 1/4 the diameter of Earth. Find the ratio of their surface area.​

Answer 1

Here it is......

Let,

d of earth= x

d of moon= x/4 (ATQ)

Hence,

'r' of earth= x/2

'r' of moon= 1/2×x/4=x/8

Radius of their surface areas= S. A of moon/S.A of earth

= 4 pie (radius of moon) ^2/4 pie (radius of earth)

= ('r' of moon)^2/( 'r' of earth) ^2

=(x/8/x/2) ^2

= 1/16

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Answer 2

$\huge\bold\pink{hey friend}$

$<b>Answer$

⬇⬇⬇

Let the unknown ( diameter of Earth ) be x.

then diameter of moon be x/4.

Hence,

Radius of Earth = x/2.

Radius of moon = ½ × x/4 = x/8

Now the second part of the question, the ratios of their surface areas:-

$\frac{surface \: area \: of \: moon}{surface \: area \: of \: earth}$

4π( radius of moon )² / 4π ( radius of Earth )²

( Radius of moon )² / ( Radius of Earth )²

(x/8)² / (x/2)²

x²/8² × 2²/x²

x²/64 × 4/x²

$\boxed{1/16}$

hope it helps u :)☺

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