The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

Explanation

Diameter of the moon(D) = `1/4` Diameter of the earth(d)

As we know that S.A of the sphere=`4pir^2`

Ratios of diameter of moon to the diameter of earth = `(4pi(D/2)^2)/(4pi(4D/2)^2)`

`(D^2/4)/(16D^2/4)`=`1/16`

Hence, ratio of their surface area is `1:16`.