Question

the diameter of the moon is about 1/4 the diameter of earth find the ratio of their surface area

Answer 1

Answer:

Answer = 1/16

Step-by-step explanation:

To Find : Ratio of their surfaces

Answer :-

Let, diameter of Earth = X

So, diameter of Moon = X/4

Hence,

Radius of Earth = X/2

& Radius of Moon = 1/2 × X/4

= X/8

Ratio of Surface = Surface area of Moon

-------------------------------------

Surface area of Earth

4¶ (radius of moon)²

= -----------------------------

4¶ (radius of earth)²

(X/8)²

= --------

(X/2)²

1

= ----

16