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Question:

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

Solution:

Given:⇒Let diameter of earth=de∴The diameter of moon=de/4⇒Radius of earth=de/2⇒Radius of moon=de/8⇒Surface Area=4πr²⇒SAm=4π(de/8)²⇒SAe=4π(de/2)²⇒Ratio=SAm/SAe=4π(de/8)²/4π(de/2)²⇒Ratio=1/16=1:16