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

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NCERT Solutions for Class 9 Maths Chapter 13
Important NCERT Questions
Surface Areas and Volumes
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 13.4
Page No:225
Questions No:7

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2 Answers

  1. Let, the radius of earth = R, Therefore, the diameter of earth = 2 R
    According to question, diameter of moon = 1/4(2R), So, the radius of moon
    = (1/4(2R)/2) = 1/4 R
    Now,
    Surface area of moon/surface of earth = (4π(1/4R)²)/4π(R)² = (1/16R²)/R² = 1/16
    Hence, the ratio of surface areas of moon to earth is 1: 16.

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  2. Get Hindi Medium and English Medium NCERT Solution for Class 9 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-13/

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