Question

the diametre of moon is approxiamately one fourth of the diametre of the earth. find the ratio of their surface areas​

Answer 1

Step-by-step explanation:

let the diameter of earth be r so itz

radius will be r/2

now a.t.q diameter of moon will be r/4 so itz radius be r/4/2 i.e r/8

now ratio of there surface areas = 4π(r/2)^h/4π(r/8)^h

4π and h will be cncelled now equation is

r^/4 /r^/64

1/16 will b e the ratio

Answer 2

Answer:

Step-by-step explanation

Let the diametre of the earth be x

Diametre of the moon is x/4

Radius of the earth= x/2

Radius of the moon is 1/2×x/4=x/8

Ratio of the surface area

Surface area of moon /surface area of earth

4pie (radius of the moon) 2 /4pie (radius of the earth)2

(X/8)2/(x/2)2

X power 2 / 8 power 2 /x power 2/ 2 power 2

X power 2 /64× 4 /x = 1/16