# The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area. - Mathematics

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

#### Solution

Let the diameter of earth be d. Therefore, the diameter of moon will be d/4.

"Radius of moon "= 1/2xxd/4 = d/8

"Surface area of moon "= 4pi(d/8)^2

"Surface area of earth "= 4pi(d/2)^2

"Required ratio "=(4pi(d/8)^2)/(4pi(d/2)^2)=4/64=1/16

Therefore, the ratio between their surface areas will be 1:16.

Concept: Surface Area of a Sphere
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#### APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.4 | Q 7 | Page 225